121121167548000 has 768 divisors, whose sum is σ = 427289172710400. Its totient is φ = 29902539571200.

The previous prime is 121121167547951. The next prime is 121121167548071. The reversal of 121121167548000 is 845761121121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121121167548000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1814162619 + ... + 1814229381.

It is an arithmetic number, because the mean of its divisors is an integer number (556366110300).

Almost surely, 2^{121121167548000} is an apocalyptic number.

121121167548000 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 121121167548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213644586355200).

121121167548000 is an abundant number, since it is smaller than the sum of its proper divisors (306168005162400).

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

121121167548000 is a wasteful number, since it uses less digits than its factorization.

121121167548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66992 (or 66974 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 121121167548000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred sixty-seven million, five hundred forty-eight thousand".