122100201211212 has 144 divisors (see below), whose sum is σ = 357575322424320. Its totient is φ = 34406976455424.

The previous prime is 122100201211211. The next prime is 122100201211231. The reversal of 122100201211212 is 212112102001221.

122100201211212 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 20 + 1 + 211 + 212 = 666.

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 (122100201211211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019795983 + ... + 1019915705.

It is an arithmetic number, because the mean of its divisors is an integer number (2483161961280).

Almost surely, 2^{122100201211212} is an apocalyptic number.

122100201211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100201211212 is an abundant number, since it is smaller than the sum of its proper divisors (235475121213108).

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

122100201211212 is a wasteful number, since it uses less digits than its factorization.

122100201211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175252 (or 175247 counting only the distinct ones).

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

Adding to 122100201211212 its reverse (212112102001221), we get a palindrome (334212303212433).

The spelling of 122100201211212 in words is "one hundred twenty-two trillion, one hundred billion, two hundred one million, two hundred eleven thousand, two hundred twelve".