122200120102122 has 72 divisors (see below), whose sum is σ = 275560704619200. Its totient is φ = 39130793908128.

The previous prime is 122200120102063. The next prime is 122200120102141. The reversal of 122200120102122 is 221201021002221.

It is a happy number.

122200120102122 is a `hidden beast` number, since 122 + 200 + 120 + 10 + 212 + 2 = 666.

It is a super-3 number, since 3×122200120102122³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122200120102095 and 122200120102104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29439472 + ... + 33332907.

It is an arithmetic number, because the mean of its divisors is an integer number (3827232008600).

Almost surely, 2^{122200120102122} is an apocalyptic number.

122200120102122 is an abundant number, since it is smaller than the sum of its proper divisors (153360584517078).

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

122200120102122 is a wasteful number, since it uses less digits than its factorization.

122200120102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62772540 (or 62772500 counting only the distinct ones).

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

Adding to 122200120102122 its reverse (221201021002221), we get a palindrome (343401141104343).

Subtracting 122200120102122 from its reverse (221201021002221), we obtain a palindrome (99000900900099).

The spelling of 122200120102122 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty million, one hundred two thousand, one hundred twenty-two".