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122133100232232 = 23321918881115491
BaseRepresentation
bin11011110001010001010100…
…000011011111111000101000
3121000102210212202012020122100
4123301101110003133320220
5112002012042124412412
61111431101025453400
734503553036042425
oct3361212403377050
9530383782166570
10122133100232232
1135a083a2094521
12118462681a1260
13531c142c424bb
1422233b8a42d4c
15e1be67738edc
hex6f14540dfe28

122133100232232 has 48 divisors (see below), whose sum is σ = 332508964020480. Its totient is φ = 40497886634400.

The previous prime is 122133100232201. The next prime is 122133100232233. The reversal of 122133100232232 is 232232001331221.

122133100232232 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 331 + 0 + 0 + 2 + 322 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122133100232196 and 122133100232205.

It is not an unprimeable number, because it can be changed into a prime (122133100232233) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4440543994 + ... + 4440571497.

It is an arithmetic number, because the mean of its divisors is an integer number (6927270083760).

Almost surely, 2122133100232232 is an apocalyptic number.

122133100232232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122133100232232 is an abundant number, since it is smaller than the sum of its proper divisors (210375863788248).

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

122133100232232 is a wasteful number, since it uses less digits than its factorization.

122133100232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881115694 (or 8881115687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122133100232232 its reverse (232232001331221), we get a palindrome (354365101563453).

The spelling of 122133100232232 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752 8881115491 17762230982 26643346473 35524461964 53286692946 71048923928 79930039419 106573385892 159860078838 213146771784 319720157676 639440315352 1696293058781 3392586117562 5088879176343 6785172235124 10177758352686 13570344470248 15266637529029 20355516705372 30533275058058 40711033410744 61066550116116 122133100232232