121002112000 has 352 divisors, whose sum is σ = 376392796416. Its totient is φ = 37711872000.

The previous prime is 121002111991. The next prime is 121002112051. The reversal of 121002112000 is 211200121.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×121002112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9849862 + ... + 9862138.

Almost surely, 2^121002112000 is an apocalyptic number.

121002112000 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 121002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188196398208).

121002112000 is an abundant number, since it is smaller than the sum of its proper divisors (255390684416).

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

121002112000 is a wasteful number, since it uses less digits than its factorization.

121002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121002112000 its reverse (211200121), we get a palindrome (121213312121).

The spelling of 121002112000 in words is "one hundred twenty-one billion, two million, one hundred twelve thousand".