122012100210000 has 2400 divisors, whose sum is σ = 546175913361408. Its totient is φ = 22767713280000.

The previous prime is 122012100209971. The next prime is 122012100210019. The reversal of 122012100210000 is 12001210221.

122012100210000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14444425777 + ... + 14444434223.

Almost surely, 2^{122012100210000} is an apocalyptic number.

122012100210000 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 122012100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273087956680704).

122012100210000 is an abundant number, since it is smaller than the sum of its proper divisors (424163813151408).

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

122012100210000 is a wasteful number, since it uses less digits than its factorization.

122012100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8559 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122012100210000 its reverse (12001210221), we get a palindrome (122024101420221).

The spelling of 122012100210000 in words is "one hundred twenty-two trillion, twelve billion, one hundred million, two hundred ten thousand".