22229061271200 has 864 divisors, whose sum is σ = 94654166495616. Its totient is φ = 4985045544960.

The previous prime is 22229061271093. The next prime is 22229061271213. The reversal of 22229061271200 is 217216092222.

It is a happy number.

22229061271200 is a `hidden beast` number, since 2 + 2 + 2 + 29 + 0 + 612 + 7 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71968294 + ... + 72276506.

It is an arithmetic number, because the mean of its divisors is an integer number (109553433444).

Almost surely, 2^{22229061271200} is an apocalyptic number.

22229061271200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22229061271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327083247808).

22229061271200 is an abundant number, since it is smaller than the sum of its proper divisors (72425105224416).

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

22229061271200 is a wasteful number, since it uses less digits than its factorization.

22229061271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308308 (or 308283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22229061271200 in words is "twenty-two trillion, two hundred twenty-nine billion, sixty-one million, two hundred seventy-one thousand, two hundred".