121305511152 has 120 divisors (see below), whose sum is σ = 389955193056. Its totient is φ = 34482728448.

The previous prime is 121305511147. The next prime is 121305511183. The reversal of 121305511152 is 251115503121.

It is a happy number.

121305511152 is a `hidden beast` number, since 1 + 2 + 130 + 5 + 511 + 15 + 2 = 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, 106863 + ... + 504014.

Almost surely, 2^121305511152 is an apocalyptic number.

121305511152 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 121305511152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194977596528).

121305511152 is an abundant number, since it is smaller than the sum of its proper divisors (268649681904).

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

121305511152 is a wasteful number, since it uses less digits than its factorization.

121305511152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611095 (or 611086 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 121305511152 in words is "one hundred twenty-one billion, three hundred five million, five hundred eleven thousand, one hundred fifty-two".