121033729872 has 320 divisors, whose sum is σ = 397294571520. Its totient is φ = 34947763200.

The previous prime is 121033729849. The next prime is 121033729919. The reversal of 121033729872 is 278927330121.

121033729872 is a `hidden beast` number, since 1 + 21 + 0 + 337 + 298 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8370553 + ... + 8384999.

It is an arithmetic number, because the mean of its divisors is an integer number (1241545536).

Almost surely, 2^121033729872 is an apocalyptic number.

121033729872 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 121033729872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198647285760).

121033729872 is an abundant number, since it is smaller than the sum of its proper divisors (276260841648).

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

121033729872 is a wasteful number, since it uses less digits than its factorization.

121033729872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 121033729872 in words is "one hundred twenty-one billion, thirty-three million, seven hundred twenty-nine thousand, eight hundred seventy-two".