212220222012000 has 288 divisors, whose sum is σ = 773525507043744. Its totient is φ = 55062543744000.

The previous prime is 212220222011933. The next prime is 212220222012041. The reversal of 212220222012000 is 210222022212.

212220222012000 is a `hidden beast` number, since 2 + 122 + 202 + 220 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 78330246 + ... + 80994245.

It is an arithmetic number, because the mean of its divisors is an integer number (2685852455013).

Almost surely, 2^{212220222012000} is an apocalyptic number.

212220222012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220222012000 is an abundant number, since it is smaller than the sum of its proper divisors (561305285031744).

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

212220222012000 is a wasteful number, since it uses less digits than its factorization.

212220222012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159324559 (or 159324538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212220222012000 its reverse (210222022212), we get a palindrome (212430444034212).

The spelling of 212220222012000 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred twenty-two million, twelve thousand".