126337158961200 has 960 divisors, whose sum is σ = 501574225052160. Its totient is φ = 29942714880000.

The previous prime is 126337158961193. The next prime is 126337158961213. The reversal of 126337158961200 is 2169851733621.

It is a happy number.

126337158961200 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 3 + 7 + 15 + 8 + 9 + 612 + 0 + 0 = 666.

126337158961200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126337158961200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1781845750 + ... + 1781916650.

It is an arithmetic number, because the mean of its divisors is an integer number (522473151096).

Almost surely, 2^{126337158961200} is an apocalyptic number.

126337158961200 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 126337158961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250787112526080).

126337158961200 is an abundant number, since it is smaller than the sum of its proper divisors (375237066090960).

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

126337158961200 is a wasteful number, since it uses less digits than its factorization.

126337158961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71275 (or 71258 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 126337158961200 in words is "one hundred twenty-six trillion, three hundred thirty-seven billion, one hundred fifty-eight million, nine hundred sixty-one thousand, two hundred".