221013121200 has 240 divisors, whose sum is σ = 730322021280. Its totient is φ = 57090908160.

The previous prime is 221013121129. The next prime is 221013121207. The reversal of 221013121200 is 2121310122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221013121200.

It is not an unprimeable number, because it can be changed into a prime (221013121207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10156732 + ... + 10178468.

It is an arithmetic number, because the mean of its divisors is an integer number (3043008422).

Almost surely, 2^221013121200 is an apocalyptic number.

221013121200 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 221013121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365161010640).

221013121200 is an abundant number, since it is smaller than the sum of its proper divisors (509308900080).

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

221013121200 is a wasteful number, since it uses less digits than its factorization.

221013121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22024 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221013121200 its reverse (2121310122), we get a palindrome (223134431322).

The spelling of 221013121200 in words is "two hundred twenty-one billion, thirteen million, one hundred twenty-one thousand, two hundred".