121077024 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 38725632.

The previous prime is 121077017. The next prime is 121077031. The reversal of 121077024 is 420770121.

It is an interprime number because it is at equal distance from previous prime (121077017) and next prime (121077031).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121076985 and 121077003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315937 + ... + 316319.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^121077024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121077024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

121077024 is an abundant number, since it is smaller than the sum of its proper divisors (209869536).

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

121077024 is a wasteful number, since it uses less digits than its factorization.

121077024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 121077024 is about 11003.5005339210. The cubic root of 121077024 is about 494.7136717715.

The spelling of 121077024 in words is "one hundred twenty-one million, seventy-seven thousand, twenty-four".