121390964736 has 448 divisors, whose sum is σ = 362365747200. Its totient is φ = 35969826816.

The previous prime is 121390964731. The next prime is 121390964741. The reversal of 121390964736 is 637469093121.

It is an interprime number because it is at equal distance from previous prime (121390964731) and next prime (121390964741).

It is not an unprimeable number, because it can be changed into a prime (121390964731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955834305 + ... + 955834431.

Almost surely, 2^121390964736 is an apocalyptic number.

121390964736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121390964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181182873600).

121390964736 is an abundant number, since it is smaller than the sum of its proper divisors (240974782464).

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

121390964736 is a wasteful number, since it uses less digits than its factorization.

121390964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 121390964736 in words is "one hundred twenty-one billion, three hundred ninety million, nine hundred sixty-four thousand, seven hundred thirty-six".