121112771584 has 132 divisors (see below), whose sum is σ = 282445322016. Its totient is φ = 51756171264.

The previous prime is 121112771567. The next prime is 121112771597. The reversal of 121112771584 is 485177211121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18411304 + ... + 18417880.

It is an arithmetic number, because the mean of its divisors is an integer number (2139737288).

Almost surely, 2^121112771584 is an apocalyptic number.

121112771584 is a gapful number since it is divisible by the number (14) 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 121112771584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141222661008).

121112771584 is an abundant number, since it is smaller than the sum of its proper divisors (161332550432).

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

121112771584 is an equidigital number, since it uses as much as digits as its factorization.

121112771584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6953 counting only the distinct ones).

The product of its digits is 31360, while the sum is 40.

The spelling of 121112771584 in words is "one hundred twenty-one billion, one hundred twelve million, seven hundred seventy-one thousand, five hundred eighty-four".