121122010122000 has 160 divisors (see below), whose sum is σ = 411049853685120. Its totient is φ = 30599244633600.

The previous prime is 121122010121999. The next prime is 121122010122011. The reversal of 121122010122000 is 221010221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531122887 + ... + 531350886.

It is an arithmetic number, because the mean of its divisors is an integer number (2569061585532).

Almost surely, 2^{121122010122000} is an apocalyptic number.

121122010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122010122000 is an abundant number, since it is smaller than the sum of its proper divisors (289927843563120).

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

121122010122000 is a wasteful number, since it uses less digits than its factorization.

121122010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062473818 (or 1062473802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122010122000 its reverse (221010221121), we get a palindrome (121343020343121).

The spelling of 121122010122000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, ten million, one hundred twenty-two thousand".