126232330770 has 768 divisors, whose sum is σ = 443274854400. Its totient is φ = 24859560960.

The previous prime is 126232330769. The next prime is 126232330771. The reversal of 126232330770 is 77033232621.

126232330770 is a `hidden beast` number, since 1 + 2 + 623 + 23 + 3 + 0 + 7 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126232330769) and next prime (126232330771).

It is not an unprimeable number, because it can be changed into a prime (126232330771) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2139531001 + ... + 2139531059.

It is an arithmetic number, because the mean of its divisors is an integer number (577180800).

Almost surely, 2^126232330770 is an apocalyptic number.

126232330770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126232330770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221637427200).

126232330770 is an abundant number, since it is smaller than the sum of its proper divisors (317042523630).

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

126232330770 is a wasteful number, since it uses less digits than its factorization.

126232330770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 126232330770 in words is "one hundred twenty-six billion, two hundred thirty-two million, three hundred thirty thousand, seven hundred seventy".