122120102022012 has 192 divisors, whose sum is σ = 323213721600000. Its totient is φ = 39865990656960.

The previous prime is 122120102022001. The next prime is 122120102022019. The reversal of 122120102022012 is 210220201021221.

It is a happy number.

122120102022012 is a `hidden beast` number, since 1 + 221 + 201 + 0 + 20 + 220 + 1 + 2 = 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 (122120102022019) 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, 2502487989 + ... + 2502536787.

It is an arithmetic number, because the mean of its divisors is an integer number (1683404800000).

Almost surely, 2^{122120102022012} is an apocalyptic number.

122120102022012 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 122120102022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161606860800000).

122120102022012 is an abundant number, since it is smaller than the sum of its proper divisors (201093619577988).

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

122120102022012 is a wasteful number, since it uses less digits than its factorization.

122120102022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51261 (or 51253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122120102022012 its reverse (210220201021221), we get a palindrome (332340303043233).

The spelling of 122120102022012 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred two million, twenty-two thousand, twelve".