121132950120 has 1280 divisors, whose sum is σ = 536268902400. Its totient is φ = 23828152320.

The previous prime is 121132950083. The next prime is 121132950131. The reversal of 121132950120 is 21059231121.

121132950120 is a `hidden beast` number, since 1 + 2 + 1 + 132 + 9 + 501 + 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 319 ways as a sum of consecutive naturals, for example, 265060932 + ... + 265061388.

It is an arithmetic number, because the mean of its divisors is an integer number (418960080).

Almost surely, 2^121132950120 is an apocalyptic number.

121132950120 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 121132950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268134451200).

121132950120 is an abundant number, since it is smaller than the sum of its proper divisors (415135952280).

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

121132950120 is a wasteful number, since it uses less digits than its factorization.

121132950120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 121132950120 in words is "one hundred twenty-one billion, one hundred thirty-two million, nine hundred fifty thousand, one hundred twenty".