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122112010122012 = 22334326294575823
BaseRepresentation
bin11011110000111101101010…
…111111000111001100011100
3121000100210102221102122022000
4123300331222333013030130
5112001140344042401022
61111413252155322300
734502205306052551
oct3360755277071434
9530323387378260
10122112010122012
11359aa45a295569
1211842161150390
13531a16176a541
142222377a74a28
15e1b630e3c6ac
hex6f0f6afc731c

122112010122012 has 48 divisors (see below), whose sum is σ = 323949174151680. Its totient is φ = 39757398642864.

The previous prime is 122112010122001. The next prime is 122112010122017. The reversal of 122112010122012 is 210221010211221.

122112010122012 is a `hidden beast` number, since 1 + 221 + 120 + 101 + 220 + 1 + 2 = 666.

It is a super-2 number, since 2×1221120101220122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112010122017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147283268 + ... + 13147292555.

It is an arithmetic number, because the mean of its divisors is an integer number (6748941128160).

Almost surely, 2122112010122012 is an apocalyptic number.

122112010122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112010122012 is an abundant number, since it is smaller than the sum of its proper divisors (201837164029668).

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

122112010122012 is a wasteful number, since it uses less digits than its factorization.

122112010122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26294575879 (or 26294575871 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112010122012 its reverse (210221010211221), we get a palindrome (332333020333233).

The spelling of 122112010122012 in words is "one hundred twenty-two trillion, one hundred twelve billion, ten million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 26294575823 52589151646 78883727469 105178303292 157767454938 236651182407 315534909876 473302364814 709953547221 946604729628 1130666760389 1419907094442 2261333520778 2839814188884 3392000281167 4522667041556 6784000562334 10176000843501 13568001124668 20352001687002 30528002530503 40704003374004 61056005061006 122112010122012