126233251200 has 864 divisors, whose sum is σ = 543538883160. Its totient is φ = 28844605440.

The previous prime is 126233251189. The next prime is 126233251247. The reversal of 126233251200 is 2152332621.

It is a happy number.

126233251200 is a `hidden beast` number, since 1 + 2 + 623 + 3 + 25 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38100744 + ... + 38104056.

Almost surely, 2^126233251200 is an apocalyptic number.

126233251200 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 126233251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271769441580).

126233251200 is an abundant number, since it is smaller than the sum of its proper divisors (417305631960).

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

126233251200 is an equidigital number, since it uses as much as digits as its factorization.

126233251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 126233251200 its reverse (2152332621), we get a palindrome (128385583821).

The spelling of 126233251200 in words is "one hundred twenty-six billion, two hundred thirty-three million, two hundred fifty-one thousand, two hundred".