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123222212121132 = 223310748721895381
BaseRepresentation
bin11100000001000111101000…
…001011101001001000101100
3121011021221001211100122212000
4130001013220023221020230
5112122333042300334012
61114023300333212300
734645340200254015
oct3401075013511054
9534257054318760
10123222212121132
1136298279389493
12119a1359631090
13539aa6003a187
14225ddb604400c
15e3a45c39cddc
hex7011e82e922c

123222212121132 has 96 divisors (see below), whose sum is σ = 323112779619840. Its totient is φ = 40606646258880.

The previous prime is 123222212121103. The next prime is 123222212121133. The reversal of 123222212121132 is 231121212222321.

123222212121132 is a `hidden beast` number, since 1 + 2 + 322 + 2 + 2 + 121 + 211 + 3 + 2 = 666.

It is a super-2 number, since 2×1232222121211322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123222212121096 and 123222212121105.

It is not an unprimeable number, because it can be changed into a prime (123222212121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5319919 + ... + 16575462.

It is an arithmetic number, because the mean of its divisors is an integer number (3365758121040).

Almost surely, 2123222212121132 is an apocalyptic number.

123222212121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123222212121132 is an abundant number, since it is smaller than the sum of its proper divisors (199890567498708).

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

123222212121132 is a wasteful number, since it uses less digits than its factorization.

123222212121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895988 (or 21895980 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 123222212121132 its reverse (231121212222321), we get a palindrome (354343424343453).

The spelling of 123222212121132 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 487 642 963 974 1284 1461 1926 1948 2889 2922 3852 4383 5778 5844 8766 11556 13149 17532 26298 52109 52596 104218 156327 208436 312654 468981 625308 937962 1406943 1875924 2813886 5627772 21895381 43790762 65686143 87581524 131372286 197058429 262744572 394116858 591175287 788233716 1182350574 2342805767 2364701148 4685611534 7028417301 9371223068 10663050547 14056834602 21085251903 21326101094 28113669204 31989151641 42170503806 42652202188 63255755709 63978303282 84341007612 95967454923 126511511418 127956606564 191934909846 253023022836 287902364769 383869819692 575804729538 1140946408529 1151609459076 2281892817058 3422839225587 4563785634116 6845678451174 10268517676761 13691356902348 20537035353522 30805553030283 41074070707044 61611106060566 123222212121132