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123010021312 = 2619479772203
BaseRepresentation
bin111001010001111110…
…1111111011111000000
3102202111210001112111021
41302203331333133000
54003411031140222
6132302055355224
711613205633513
oct1624375773700
9382453045437
10123010021312
1148193a4a742
121ba0b982b14
13b7a499a079
145d4cddad7a
1532ee378ac7
hex1ca3f7f7c0

123010021312 has 112 divisors (see below), whose sum is σ = 262800023040. Its totient is φ = 56943931392.

The previous prime is 123010021273. The next prime is 123010021333. The reversal of 123010021312 is 213120010321.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 55836403 + ... + 55838605.

Almost surely, 2123010021312 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 123010021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131400011520).

123010021312 is an abundant number, since it is smaller than the sum of its proper divisors (139790001728).

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

123010021312 is a wasteful number, since it uses less digits than its factorization.

123010021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123010021312 its reverse (213120010321), we get a palindrome (336130031633).

The spelling of 123010021312 in words is "one hundred twenty-three billion, ten million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 977 1216 1504 1786 1954 2203 3008 3572 3908 4406 7144 7816 8812 14288 15632 17624 18563 28576 31264 35248 37126 41857 45919 57152 62528 70496 74252 83714 91838 103541 140992 148504 167428 183676 207082 297008 334856 367352 414164 594016 669712 734704 828328 872461 1188032 1339424 1469408 1656656 1744922 1967279 2152331 2678848 2938816 3313312 3489844 3934558 4304662 6626624 6979688 7869116 8609324 13959376 15738232 17218648 27918752 31476464 34437296 40894289 55837504 62952928 68874592 81788578 101159557 125905856 137749184 163577156 202319114 327154312 404638228 654308624 809276456 1308617248 1618552912 1922031583 2617234496 3237105824 3844063166 6474211648 7688126332 15376252664 30752505328 61505010656 123010021312