121106463120 has 200 divisors, whose sum is σ = 421067454720. Its totient is φ = 32260757760.

The previous prime is 121106463109. The next prime is 121106463133. The reversal of 121106463120 is 21364601121.

It is a happy number.

121106463120 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 6 + 4 + 631 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6412251 + ... + 6431109.

Almost surely, 2^121106463120 is an apocalyptic number.

121106463120 is a gapful number since it is divisible by the number (10) 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 121106463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210533727360).

121106463120 is an abundant number, since it is smaller than the sum of its proper divisors (299960991600).

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

121106463120 is a wasteful number, since it uses less digits than its factorization.

121106463120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19875 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121106463120 in words is "one hundred twenty-one billion, one hundred six million, four hundred sixty-three thousand, one hundred twenty".