121036000752 has 120 divisors (see below), whose sum is σ = 342902576640. Its totient is φ = 39851481600.

The previous prime is 121036000741. The next prime is 121036000777. The reversal of 121036000752 is 257000630121.

It is a happy number.

121036000752 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 600 + 0 + 7 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173502 + ... + 4202402.

It is an arithmetic number, because the mean of its divisors is an integer number (2857521472).

Almost surely, 2^121036000752 is an apocalyptic number.

121036000752 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 121036000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171451288320).

121036000752 is an abundant number, since it is smaller than the sum of its proper divisors (221866575888).

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

121036000752 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (121036000751) it forms an eRAP, since the sums of their prime factors are consecutive (29270 and 29271).

121036000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29271 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 121036000752 its reverse (257000630121), we get a palindrome (378036630873).

The spelling of 121036000752 in words is "one hundred twenty-one billion, thirty-six million, seven hundred fifty-two", and thus it is an aban number.