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126441800604000 = 2535537831811237
BaseRepresentation
bin11100101111111110000110…
…100111000001100101100000
3121120200201101111002122200000
4130233332012213001211200
5113033110301423312000
61124530321124100000
735430055455651450
oct3457760647014540
9546621344078600
10126441800604000
1137319737123482
1212221327234600
13557254521c2bb
142331b5c7c1d60
15e94094ae6000
hex72ff869c1960

126441800604000 has 2304 divisors, whose sum is σ = 541661336745984. Its totient is φ = 28372073472000.

The previous prime is 126441800603959. The next prime is 126441800604011. The reversal of 126441800604000 is 406008144621.

It is a happy number.

126441800604000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 41 + 8 + 0 + 0 + 604 + 0 + 0 + 0 = 666.

126441800604000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 102216491382 + ... + 102216492618.

It is an arithmetic number, because the mean of its divisors is an integer number (235096066296).

Almost surely, 2126441800604000 is an apocalyptic number.

126441800604000 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 126441800604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270830668372992).

126441800604000 is an abundant number, since it is smaller than the sum of its proper divisors (415219536141984).

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

126441800604000 is a wasteful number, since it uses less digits than its factorization.

126441800604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 126441800604000 its reverse (406008144621), we get a palindrome (126847808748621).

The spelling of 126441800604000 in words is "one hundred twenty-six trillion, four hundred forty-one billion, eight hundred million, six hundred four thousand".