121954893634560 has 352 divisors, whose sum is σ = 447310270213632. Its totient is φ = 27780259184640.

The previous prime is 121954893634531. The next prime is 121954893634583. The reversal of 121954893634560 is 65436398459121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121954893634491 and 121954893634500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29567775 + ... + 33438945.

Almost surely, 2^{121954893634560} is an apocalyptic number.

121954893634560 is a gapful number since it is divisible by the number (10) 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 121954893634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223655135106816).

121954893634560 is an abundant number, since it is smaller than the sum of its proper divisors (325355376579072).

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

121954893634560 is a wasteful number, since it uses less digits than its factorization.

121954893634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871499 (or 3871481 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 121954893634560 in words is "one hundred twenty-one trillion, nine hundred fifty-four billion, eight hundred ninety-three million, six hundred thirty-four thousand, five hundred sixty".