221121421344 has 96 divisors (see below), whose sum is σ = 682875023040. Its totient is φ = 69371421696.

The previous prime is 221121421333. The next prime is 221121421349. The reversal of 221121421344 is 443124121122.

221121421344 is a `hidden beast` number, since 2 + 211 + 21 + 421 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221121421349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7512594 + ... + 7541969.

It is an arithmetic number, because the mean of its divisors is an integer number (7113281490).

Almost surely, 2^221121421344 is an apocalyptic number.

221121421344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221121421344 is an abundant number, since it is smaller than the sum of its proper divisors (461753601696).

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

221121421344 is a wasteful number, since it uses less digits than its factorization.

221121421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15054599 (or 15054585 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 221121421344 its reverse (443124121122), we get a palindrome (664245542466).

The spelling of 221121421344 in words is "two hundred twenty-one billion, one hundred twenty-one million, four hundred twenty-one thousand, three hundred forty-four".