102212220000312 has 24 divisors (see below), whose sum is σ = 276824762501040. Its totient is φ = 34070740000080.

The previous prime is 102212220000277. The next prime is 102212220000323. The reversal of 102212220000312 is 213000022212201.

102212220000312 is a `hidden beast` number, since 10 + 22 + 122 + 200 + 0 + 0 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 709807083264 + ... + 709807083407.

It is an arithmetic number, because the mean of its divisors is an integer number (11534365104210).

Almost surely, 2^{102212220000312} is an apocalyptic number.

102212220000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212220000312 is an abundant number, since it is smaller than the sum of its proper divisors (174612542500728).

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

102212220000312 is a wasteful number, since it uses less digits than its factorization.

102212220000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419614166683 (or 1419614166676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102212220000312 its reverse (213000022212201), we get a palindrome (315212242212513).

The spelling of 102212220000312 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, three hundred twelve", and thus it is an aban number.