221207979283200 has 5292 divisors, whose sum is σ = 1064670626315968. Its totient is φ = 45166889779200.

The previous prime is 221207979283127. The next prime is 221207979283267. The reversal of 221207979283200 is 2382979702122.

221207979283200 is a `hidden beast` number, since 2 + 2 + 1 + 20 + 79 + 79 + 283 + 200 = 666.

221207979283200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5292).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 587 ways as a sum of consecutive naturals, for example, 7135741267185 + ... + 7135741267215.

Almost surely, 2^{221207979283200} is an apocalyptic number.

221207979283200 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 221207979283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532335313157984).

221207979283200 is an abundant number, since it is smaller than the sum of its proper divisors (843462647032768).

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

221207979283200 is an frugal number, since it uses more digits than its factorization.

221207979283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 221207979283200 in words is "two hundred twenty-one trillion, two hundred seven billion, nine hundred seventy-nine million, two hundred eighty-three thousand, two hundred".