126126372240 has 320 divisors, whose sum is σ = 474489273600. Its totient is φ = 30539980800.

The previous prime is 126126372233. The next prime is 126126372271. The reversal of 126126372240 is 42273621621.

126126372240 is a `hidden beast` number, since 1 + 2 + 6 + 12 + 637 + 2 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126126372195 and 126126372204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23971210 + ... + 23976470.

It is an arithmetic number, because the mean of its divisors is an integer number (1482778980).

Almost surely, 2^126126372240 is an apocalyptic number.

126126372240 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 126126372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237244636800).

126126372240 is an abundant number, since it is smaller than the sum of its proper divisors (348362901360).

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

126126372240 is a wasteful number, since it uses less digits than its factorization.

126126372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 126126372240 its reverse (42273621621), we get a palindrome (168399993861).

The spelling of 126126372240 in words is "one hundred twenty-six billion, one hundred twenty-six million, three hundred seventy-two thousand, two hundred forty".