126101820 has 96 divisors (see below), whose sum is σ = 382294080. Its totient is φ = 30873600.

The previous prime is 126101819. The next prime is 126101849. The reversal of 126101820 is 28101621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209520 + ... + 210120.

It is an arithmetic number, because the mean of its divisors is an integer number (3982230).

Almost surely, 2^126101820 is an apocalyptic number.

126101820 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 126101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191147040).

126101820 is an abundant number, since it is smaller than the sum of its proper divisors (256192260).

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

126101820 is a wasteful number, since it uses less digits than its factorization.

126101820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 126101820 is about 11229.5066677036. The cubic root of 126101820 is about 501.4647978771.

The spelling of 126101820 in words is "one hundred twenty-six million, one hundred one thousand, eight hundred twenty".