121032110133000 has 1152 divisors, whose sum is σ = 462836026598400. Its totient is φ = 28493562240000.

The previous prime is 121032110132981. The next prime is 121032110133017. The reversal of 121032110133000 is 331011230121.

121032110133000 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 321 + 10 + 1 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5247879469 + ... + 5247902531.

It is an arithmetic number, because the mean of its divisors is an integer number (401767384200).

Almost surely, 2^{121032110133000} is an apocalyptic number.

121032110133000 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 121032110133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231418013299200).

121032110133000 is an abundant number, since it is smaller than the sum of its proper divisors (341803916465400).

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

121032110133000 is a wasteful number, since it uses less digits than its factorization.

121032110133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23252 (or 23224 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121032110133000 its reverse (331011230121), we get a palindrome (121363121363121).

The spelling of 121032110133000 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred ten million, one hundred thirty-three thousand".