121231312414272 has 70 divisors (see below), whose sum is σ = 359367588339078. Its totient is φ = 40410437469696.

The previous prime is 121231312414253. The next prime is 121231312414273. The reversal of 121231312414272 is 272414213132121.

121231312414272 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 31 + 312 + 41 + 4 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117244198020096 + 3987114394176 = 10827936^2 + 1996776^2 .

It is a super-2 number, since 2×121231312414272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121231312414273) 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 9 ways as a sum of consecutive naturals, for example, 11692829733 + ... + 11692840100.

Almost surely, 2^{121231312414272} is an apocalyptic number.

121231312414272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121231312414272 is an abundant number, since it is smaller than the sum of its proper divisors (238136275924806).

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

121231312414272 is an equidigital number, since it uses as much as digits as its factorization.

121231312414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23385669857 (or 23385669838 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 121231312414272 its reverse (272414213132121), we get a palindrome (393645525546393).

The spelling of 121231312414272 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, three hundred twelve million, four hundred fourteen thousand, two hundred seventy-two".