126322251000 has 128 divisors (see below), whose sum is σ = 429955119360. Its totient is φ = 30623568000.

The previous prime is 126322250993. The next prime is 126322251017. The reversal of 126322251000 is 152223621.

It is a super-2 number, since 2×126322251000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1880974 + ... + 1946973.

It is an arithmetic number, because the mean of its divisors is an integer number (3359024370).

Almost surely, 2^126322251000 is an apocalyptic number.

126322251000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126322251000 is an abundant number, since it is smaller than the sum of its proper divisors (303632868360).

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

126322251000 is a wasteful number, since it uses less digits than its factorization.

126322251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827982 (or 3827968 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 126322251000 its reverse (152223621), we get a palindrome (126474474621).

The spelling of 126322251000 in words is "one hundred twenty-six billion, three hundred twenty-two million, two hundred fifty-one thousand".