121012202112000 has 704 divisors, whose sum is σ = 411852361809408. Its totient is φ = 31529779200000.

The previous prime is 121012202111963. The next prime is 121012202112013. The reversal of 121012202112000 is 211202210121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3537006894 + ... + 3537041106.

Almost surely, 2^{121012202112000} is an apocalyptic number.

121012202112000 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 121012202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205926180904704).

121012202112000 is an abundant number, since it is smaller than the sum of its proper divisors (290840159697408).

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

121012202112000 is a wasteful number, since it uses less digits than its factorization.

121012202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34463 (or 34435 counting only the distinct ones).

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

Adding to 121012202112000 its reverse (211202210121), we get a palindrome (121223404322121).

The spelling of 121012202112000 in words is "one hundred twenty-one trillion, twelve billion, two hundred two million, one hundred twelve thousand".