121142055253320 has 256 divisors, whose sum is σ = 408142711468800. Its totient is φ = 31957961564160.

The previous prime is 121142055253313. The next prime is 121142055253333. The reversal of 121142055253320 is 23352550241121.

121142055253320 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 20 + 552 + 53 + 32 + 0 = 666.

It is a super-3 number, since 3×121142055253320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248142102 + ... + 248629818.

It is an arithmetic number, because the mean of its divisors is an integer number (1594307466675).

Almost surely, 2^{121142055253320} is an apocalyptic number.

121142055253320 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 121142055253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204071355734400).

121142055253320 is an abundant number, since it is smaller than the sum of its proper divisors (287000656215480).

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

121142055253320 is a wasteful number, since it uses less digits than its factorization.

121142055253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490205 (or 490195 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 121142055253320 in words is "one hundred twenty-one trillion, one hundred forty-two billion, fifty-five million, two hundred fifty-three thousand, three hundred twenty".