126517248000 has 1216 divisors, whose sum is σ = 549620547840. Its totient is φ = 28311552000.

The previous prime is 126517247977. The next prime is 126517248023. The reversal of 126517248000 is 842715621.

126517248000 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 172 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126517247977) and next prime (126517248023).

It is a super-2 number, since 2×126517248000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 9732095994 + ... + 9732096006.

Almost surely, 2^126517248000 is an apocalyptic number.

126517248000 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 126517248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810273920).

126517248000 is an abundant number, since it is smaller than the sum of its proper divisors (423103299840).

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

126517248000 is an frugal number, since it uses more digits than its factorization.

126517248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 126517248000 in words is "one hundred twenty-six billion, five hundred seventeen million, two hundred forty-eight thousand".