221151134122120 has 32 divisors (see below), whose sum is σ = 497592987427800. Its totient is φ = 88459931755008.

The previous prime is 221151134122117. The next prime is 221151134122129. The reversal of 221151134122120 is 21221431151122.

It can be written as a sum of positive squares in 4 ways, for example, as 164431226809476 + 56719907312644 = 12823074^2 + 7531262^2 .

It is not an unprimeable number, because it can be changed into a prime (221151134122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9408429 + ... + 23039548.

Almost surely, 2^{221151134122120} is an apocalyptic number.

221151134122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221151134122120 is an abundant number, since it is smaller than the sum of its proper divisors (276441853305680).

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

221151134122120 is a wasteful number, since it uses less digits than its factorization.

221151134122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32618377 (or 32618373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 221151134122120 its reverse (21221431151122), we get a palindrome (242372565273242).

The spelling of 221151134122120 in words is "two hundred twenty-one trillion, one hundred fifty-one billion, one hundred thirty-four million, one hundred twenty-two thousand, one hundred twenty".