221079120138240 has 1664 divisors, whose sum is σ = 879662030241792. Its totient is φ = 46162834882560.

The previous prime is 221079120138133. The next prime is 221079120138241. The reversal of 221079120138240 is 42831021970122.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×221079120138240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 221079120138192 and 221079120138201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221079120138241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334461603510 + ... + 334461604170.

Almost surely, 2^{221079120138240} is an apocalyptic number.

221079120138240 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 221079120138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439831015120896).

221079120138240 is an abundant number, since it is smaller than the sum of its proper divisors (658582910103552).

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

221079120138240 is a wasteful number, since it uses less digits than its factorization.

221079120138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 221079120138240 in words is "two hundred twenty-one trillion, seventy-nine billion, one hundred twenty million, one hundred thirty-eight thousand, two hundred forty".