121949020944 has 45 divisors (see below), whose sum is σ = 341299613109. Its totient is φ = 40648276800.

The previous prime is 121949020927. The next prime is 121949020969. The reversal of 121949020944 is 449020949121.

It is a happy number.

The square root of 121949020944 is 349212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1012003344 + 120937017600 = 31812^2 + 347760^2 .

It is a super-2 number, since 2×121949020944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121949020944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4175994 + ... + 4205094.

Almost surely, 2^121949020944 is an apocalyptic number.

121949020944 is the 349212-nd square number.

It is an amenable number.

121949020944 is an abundant number, since it is smaller than the sum of its proper divisors (219350592165).

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

121949020944 is an frugal number, since it uses more digits than its factorization.

121949020944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58216 (or 29106 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 121949020944 in words is "one hundred twenty-one billion, nine hundred forty-nine million, twenty thousand, nine hundred forty-four".