121772100672 has 84 divisors (see below), whose sum is σ = 358471255116. Its totient is φ = 39493647360.

The previous prime is 121772100629. The next prime is 121772100679. The reversal of 121772100672 is 276001277121.

It can be written as a sum of positive squares in 2 ways, for example, as 117769766976 + 4002333696 = 343176^2 + 63264^2 .

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 (121772100679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2835579 + ... + 2878202.

Almost surely, 2^121772100672 is an apocalyptic number.

121772100672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121772100672 is an abundant number, since it is smaller than the sum of its proper divisors (236699154444).

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

121772100672 is a wasteful number, since it uses less digits than its factorization.

121772100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713836 (or 5713823 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 121772100672 its reverse (276001277121), we get a palindrome (397773377793).

The spelling of 121772100672 in words is "one hundred twenty-one billion, seven hundred seventy-two million, one hundred thousand, six hundred seventy-two".