126224681000 has 128 divisors (see below), whose sum is σ = 323139922560. Its totient is φ = 45768448000.

The previous prime is 126224680999. The next prime is 126224681041. The reversal of 126224681000 is 186422621.

It is a super-2 number, since 2×126224681000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3866747 + ... + 3899253.

It is an arithmetic number, because the mean of its divisors is an integer number (2524530645).

Almost surely, 2^126224681000 is an apocalyptic number.

126224681000 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 126224681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161569961280).

126224681000 is an abundant number, since it is smaller than the sum of its proper divisors (196915241560).

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

126224681000 is a wasteful number, since it uses less digits than its factorization.

126224681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32892 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 126224681000 in words is "one hundred twenty-six billion, two hundred twenty-four million, six hundred eighty-one thousand".