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126127540000 = 255471181901
BaseRepresentation
bin111010101110111001…
…0011000011100100000
3110001120001012220011101
41311131302120130200
54031302122240000
6133535302524144
712053362254340
oct1653562303440
9401501186141
10126127540000
1149543787670
122053ba36654
13bb80819c97
146167074d20
153432dd2e6a
hex1d5dc98720

126127540000 has 240 divisors, whose sum is σ = 386863114176. Its totient is φ = 39312000000.

The previous prime is 126127539977. The next prime is 126127540061. The reversal of 126127540000 is 45721621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1499050 + ... + 1580950.

Almost surely, 2126127540000 is an apocalyptic number.

126127540000 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 126127540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193431557088).

126127540000 is an abundant number, since it is smaller than the sum of its proper divisors (260735574176).

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

126127540000 is an equidigital number, since it uses as much as digits as its factorization.

126127540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81949 (or 81926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 126127540000 in words is "one hundred twenty-six billion, one hundred twenty-seven million, five hundred forty thousand".