122021112100212 has 192 divisors, whose sum is σ = 359472473472000. Its totient is φ = 35484013927296.

The previous prime is 122021112100159. The next prime is 122021112100219. The reversal of 122021112100212 is 212001211120221.

122021112100212 is a `hidden beast` number, since 1 + 220 + 21 + 1 + 1 + 210 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021112100219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5718783 + ... + 16635705.

It is an arithmetic number, because the mean of its divisors is an integer number (1872252466000).

Almost surely, 2^{122021112100212} is an apocalyptic number.

122021112100212 is a gapful number since it is divisible by the number (12) 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 122021112100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179736236736000).

122021112100212 is an abundant number, since it is smaller than the sum of its proper divisors (237451361371788).

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

122021112100212 is a wasteful number, since it uses less digits than its factorization.

122021112100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917387 (or 10917379 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122021112100212 its reverse (212001211120221), we get a palindrome (334022323220433).

The spelling of 122021112100212 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, one hundred thousand, two hundred twelve".