12221000202312 has 72 divisors (see below), whose sum is σ = 36381042294870. Its totient is φ = 3703333392000.

The previous prime is 12221000202289. The next prime is 12221000202337. The reversal of 12221000202312 is 21320200012221.

12221000202312 is a `hidden beast` number, since 122 + 210 + 0 + 0 + 20 + 2 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10506194238276 + 1714805964036 = 3241326^2 + 1309506^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 701380189 + ... + 701397612.

Almost surely, 2^{12221000202312} is an apocalyptic number.

12221000202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221000202312 is an abundant number, since it is smaller than the sum of its proper divisors (24160042092558).

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

12221000202312 is a wasteful number, since it uses less digits than its factorization.

12221000202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402777835 (or 1402777817 counting only the distinct ones).

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

Adding to 12221000202312 its reverse (21320200012221), we get a palindrome (33541200214533).

The spelling of 12221000202312 in words is "twelve trillion, two hundred twenty-one billion, two hundred two thousand, three hundred twelve".