126198307620 has 1728 divisors, whose sum is σ = 557148533760. Its totient is φ = 22481141760.

The previous prime is 126198307601. The next prime is 126198307621. The reversal of 126198307620 is 26703891621.

126198307620 is a `hidden beast` number, since 1 + 2 + 6 + 19 + 8 + 3 + 0 + 7 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126198307621) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1728743904 + ... + 1728743976.

It is an arithmetic number, because the mean of its divisors is an integer number (322423920).

Almost surely, 2^126198307620 is an apocalyptic number.

126198307620 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 126198307620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278574266880).

126198307620 is an abundant number, since it is smaller than the sum of its proper divisors (430950226140).

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

126198307620 is a wasteful number, since it uses less digits than its factorization.

126198307620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 126198307620 in words is "one hundred twenty-six billion, one hundred ninety-eight million, three hundred seven thousand, six hundred twenty".