122002211100312 has 96 divisors (see below), whose sum is σ = 334129830194160. Its totient is φ = 40213345536000.

The previous prime is 122002211100281. The next prime is 122002211100313. The reversal of 122002211100312 is 213001112200221.

122002211100312 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 221 + 110 + 0 + 312 = 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 (122002211100313) 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, 20365489 + ... + 25666272.

Almost surely, 2^{122002211100312} is an apocalyptic number.

122002211100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122002211100312 is an abundant number, since it is smaller than the sum of its proper divisors (212127619093848).

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

122002211100312 is a wasteful number, since it uses less digits than its factorization.

122002211100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46032185 (or 46032178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122002211100312 its reverse (213001112200221), we get a palindrome (335003323300533).

The spelling of 122002211100312 in words is "one hundred twenty-two trillion, two billion, two hundred eleven million, one hundred thousand, three hundred twelve".