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122330313130120 = 23517179897519309
BaseRepresentation
bin11011110100001000111110…
…110111000000000010001000
3121001010122220212001110210121
4123310020332313000002020
5112013224440130130440
61112101434154353024
734524034125030334
oct3364107667000210
9531118825043717
10122330313130120
1135a83aa3687647
121187852642b774
1353349119cc014
14222cb668da7c4
15e2215b17034a
hex6f423edc0088

122330313130120 has 32 divisors (see below), whose sum is σ = 291433981282200. Its totient is φ = 46053764942848.

The previous prime is 122330313130117. The next prime is 122330313130127. The reversal of 122330313130120 is 21031313033221.

It can be written as a sum of positive squares in 4 ways, for example, as 122065065469636 + 265247660484 = 11048306^2 + 515022^2 .

It is a super-3 number, since 3×1223303131301203 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122330313130127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89948758975 + ... + 89948760334.

Almost surely, 2122330313130120 is an apocalyptic number.

122330313130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330313130120 is an abundant number, since it is smaller than the sum of its proper divisors (169103668152080).

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

122330313130120 is a wasteful number, since it uses less digits than its factorization.

122330313130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179897519337 (or 179897519333 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 122330313130120 its reverse (21031313033221), we get a palindrome (143361626163341).

The spelling of 122330313130120 in words is "one hundred twenty-two trillion, three hundred thirty billion, three hundred thirteen million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 179897519309 359795038618 719590077236 899487596545 1439180154472 1798975193090 3058257828253 3597950386180 6116515656506 7195900772360 12233031313012 15291289141265 24466062626024 30582578282530 61165156565060 122330313130120