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123012000223312 = 241747103337277213
BaseRepresentation
bin11011111110000011110110…
…100100111001000001010000
3121010112211110210120211001211
4123332003312210321001100
5112110412034024121222
61113342533250505504
734624216016515114
oct3376036644710120
9533484423524054
10123012000223312
1136217107234312
1211968671b95294
135383c9c16bc15
142253b53a01744
15e34c57661277
hex6fe0f6939050

123012000223312 has 160 divisors (see below), whose sum is σ = 261000076925952. Its totient is φ = 55939589701632.

The previous prime is 123012000223253. The next prime is 123012000223339. The reversal of 123012000223312 is 213322000210321.

It is a super-2 number, since 2×1230120002233122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443606818 + ... + 443884030.

Almost surely, 2123012000223312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012000223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130500038462976).

123012000223312 is an abundant number, since it is smaller than the sum of its proper divisors (137988076702640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123012000223312 is a wasteful number, since it uses less digits than its factorization.

123012000223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277725 (or 277719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123012000223312 its reverse (213322000210321), we get a palindrome (336334000433633).

The spelling of 123012000223312 in words is "one hundred twenty-three trillion, twelve billion, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 47 68 94 103 136 188 206 272 337 376 412 674 752 799 824 1348 1598 1648 1751 2696 3196 3502 4841 5392 5729 6392 7004 9682 11458 12784 14008 15839 19364 22916 28016 31678 34711 38728 45832 63356 69422 77456 82297 91664 126712 138844 164594 253424 269263 277213 277688 329188 538526 554426 555376 590087 658376 1077052 1108852 1180174 1316752 1631417 2154104 2217704 2360348 3262834 4308208 4435408 4712621 4720696 6525668 9425242 9441392 13029011 13051336 18850484 26058022 26102672 27734089 28552939 37700968 52116044 55468178 57105878 75401936 93420781 104232088 110936356 114211756 186841562 208464176 221493187 221872712 228423512 373683124 442986374 443745424 456847024 485399963 747366248 885972748 970799926 1341988133 1494732496 1588153277 1771945496 1941599852 2683976266 3176306554 3543890992 3883199704 4390776707 5367952532 6352613108 7766399408 8781553414 9622340443 10735905064 12705226216 17563106828 19244680886 21471810128 22813798261 25410452432 35126213656 38489361772 45627596522 70252427312 74643204019 76978723544 91255193044 149286408038 153957447088 163579787531 182510386088 298572816076 327159575062 365020772176 452250000821 597145632152 654319150124 904500001642 1194291264304 1308638300248 1809000003284 2617276600496 3618000006568 7236000013136 7688250013957 15376500027914 30753000055828 61506000111656 123012000223312