127221520 has 80 divisors (see below), whose sum is σ = 312694272. Its totient is φ = 48061440.

The previous prime is 127221517. The next prime is 127221559. The reversal of 127221520 is 25122721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×127221520² = 32370630302220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127221491 and 127221500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106044 + ... + 107236.

Almost surely, 2^127221520 is an apocalyptic number.

127221520 is a gapful number since it is divisible by the number (10) 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 127221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156347136).

127221520 is an abundant number, since it is smaller than the sum of its proper divisors (185472752).

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

127221520 is a wasteful number, since it uses less digits than its factorization.

127221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 127221520 is about 11279.2517482322. The cubic root of 127221520 is about 502.9446506874.

The spelling of 127221520 in words is "one hundred twenty-seven million, two hundred twenty-one thousand, five hundred twenty".