122002102211112 has 96 divisors (see below), whose sum is σ = 332597366810280. Its totient is φ = 40400522772480.

The previous prime is 122002102211083. The next prime is 122002102211117. The reversal of 122002102211112 is 211112201200221.

122002102211112 is a `hidden beast` number, since 1 + 220 + 0 + 210 + 221 + 1 + 1 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118811613205476 + 3190489005636 = 10900074^2 + 1786194^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122002102211117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1936189 + ... + 15740172.

Almost surely, 2^{122002102211112} is an apocalyptic number.

122002102211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122002102211112 is an abundant number, since it is smaller than the sum of its proper divisors (210595264599168).

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

122002102211112 is a wasteful number, since it uses less digits than its factorization.

122002102211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17677003 (or 17676996 counting only the distinct ones).

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

Adding to 122002102211112 its reverse (211112201200221), we get a palindrome (333114303411333).

The spelling of 122002102211112 in words is "one hundred twenty-two trillion, two billion, one hundred two million, two hundred eleven thousand, one hundred twelve".