121969417747632 has 480 divisors, whose sum is σ = 407821589747712. Its totient is φ = 31110896130048.

The previous prime is 121969417747577. The next prime is 121969417747637. The reversal of 121969417747632 is 236747714969121.

It is not an unprimeable number, because it can be changed into a prime (121969417747637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188606313 + ... + 189251895.

Almost surely, 2^{121969417747632} is an apocalyptic number.

121969417747632 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 121969417747632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203910794873856).

121969417747632 is an abundant number, since it is smaller than the sum of its proper divisors (285852172000080).

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

121969417747632 is a wasteful number, since it uses less digits than its factorization.

121969417747632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645825 (or 645812 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 69.

The spelling of 121969417747632 in words is "one hundred twenty-one trillion, nine hundred sixty-nine billion, four hundred seventeen million, seven hundred forty-seven thousand, six hundred thirty-two".