121809223968432 has 1440 divisors, whose sum is σ = 446678361130176. Its totient is φ = 28309377761280.

The previous prime is 121809223968413. The next prime is 121809223968451. The reversal of 121809223968432 is 234869322908121.

It is an interprime number because it is at equal distance from previous prime (121809223968413) and next prime (121809223968451).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40108402818 + ... + 40108405854.

Almost surely, 2^{121809223968432} is an apocalyptic number.

121809223968432 is a gapful number since it is divisible by the number (12) 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 121809223968432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223339180565088).

121809223968432 is an abundant number, since it is smaller than the sum of its proper divisors (324869137161744).

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

121809223968432 is a wasteful number, since it uses less digits than its factorization.

121809223968432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 121809223968432 in words is "one hundred twenty-one trillion, eight hundred nine billion, two hundred twenty-three million, nine hundred sixty-eight thousand, four hundred thirty-two".