121010112000 has 960 divisors, whose sum is σ = 468438018048. Its totient is φ = 31104000000.

The previous prime is 121010111953. The next prime is 121010112001. The reversal of 121010112000 is 211010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010112001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482111875 + ... + 482112125.

Almost surely, 2^121010112000 is an apocalyptic number.

121010112000 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 121010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234219009024).

121010112000 is an abundant number, since it is smaller than the sum of its proper divisors (347427906048).

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

121010112000 is an frugal number, since it uses more digits than its factorization.

121010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121010112000 its reverse (211010121), we get a palindrome (121221122121).

The spelling of 121010112000 in words is "one hundred twenty-one billion, ten million, one hundred twelve thousand".