121122651415536 has 120 divisors (see below), whose sum is σ = 343465536173760. Its totient is φ = 39839981875200.

The previous prime is 121122651415499. The next prime is 121122651415547. The reversal of 121122651415536 is 635514156221121.

121122651415536 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 2 + 6 + 51 + 41 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121122651415491 and 121122651415500.

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, 16484776 + ... + 22671416.

It is an arithmetic number, because the mean of its divisors is an integer number (2862212801448).

Almost surely, 2^{121122651415536} is an apocalyptic number.

121122651415536 is a gapful number since it is divisible by the number (16) 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 121122651415536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171732768086880).

121122651415536 is an abundant number, since it is smaller than the sum of its proper divisors (222342884758224).

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

121122651415536 is a wasteful number, since it uses less digits than its factorization.

121122651415536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188455 (or 6188446 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

It can be divided in two parts, 12112265 and 1415536, that added together give a triangular number (13527801 = T₅₂₀₁).

The spelling of 121122651415536 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, six hundred fifty-one million, four hundred fifteen thousand, five hundred thirty-six".