126501120 has 216 divisors, whose sum is σ = 446409600. Its totient is φ = 33067008.

The previous prime is 126501101. The next prime is 126501139. The reversal of 126501120 is 21105621.

126501120 is a `hidden beast` number, since 1 + 2 + 650 + 1 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126501101) and next prime (126501139).

It is a super-2 number, since 2×126501120² = 32005066722508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126501093 and 126501102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910011 + ... + 910149.

Almost surely, 2^126501120 is an apocalyptic number.

126501120 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 126501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

126501120 is an abundant number, since it is smaller than the sum of its proper divisors (319908480).

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

126501120 is a wasteful number, since it uses less digits than its factorization.

126501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 126501120 is about 11247.2716691649. The cubic root of 126501120 is about 501.9935344109.

Adding to 126501120 its reverse (21105621), we get a palindrome (147606741).

It can be divided in two parts, 126501 and 120, that added together give a palindrome (126621).

The spelling of 126501120 in words is "one hundred twenty-six million, five hundred one thousand, one hundred twenty".