121054716288 has 384 divisors, whose sum is σ = 415371939840. Its totient is φ = 33409843200.

The previous prime is 121054716287. The next prime is 121054716301. The reversal of 121054716288 is 882617450121.

121054716288 is a `hidden beast` number, since 1 + 2 + 10 + 5 + 4 + 7 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121054716287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6669081 + ... + 6687207.

It is an arithmetic number, because the mean of its divisors is an integer number (1081697760).

Almost surely, 2^121054716288 is an apocalyptic number.

121054716288 is a gapful number since it is divisible by the number (18) 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 121054716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207685969920).

121054716288 is an abundant number, since it is smaller than the sum of its proper divisors (294317223552).

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

121054716288 is a wasteful number, since it uses less digits than its factorization.

121054716288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18191 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 121054716288 in words is "one hundred twenty-one billion, fifty-four million, seven hundred sixteen thousand, two hundred eighty-eight".