121012112010000 has 400 divisors, whose sum is σ = 414256804689024. Its totient is φ = 30325072896000.

The previous prime is 121012112009927. The next prime is 121012112010001. The reversal of 121012112010000 is 10211210121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121012112010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332848317 + ... + 333211683.

Almost surely, 2^{121012112010000} is an apocalyptic number.

121012112010000 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 121012112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207128402344512).

121012112010000 is an abundant number, since it is smaller than the sum of its proper divisors (293244692679024).

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

121012112010000 is a wasteful number, since it uses less digits than its factorization.

121012112010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364068 (or 364047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121012112010000 its reverse (10211210121), we get a palindrome (121022323220121).

The spelling of 121012112010000 in words is "one hundred twenty-one trillion, twelve billion, one hundred twelve million, ten thousand".