126180650112 has 512 divisors, whose sum is σ = 407315865600. Its totient is φ = 34172928000.

The previous prime is 126180650059. The next prime is 126180650159. The reversal of 126180650112 is 211056081621.

It is a super-2 number, since 2×126180650112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102004758 + ... + 102005994.

It is an arithmetic number, because the mean of its divisors is an integer number (795538800).

Almost surely, 2^126180650112 is an apocalyptic number.

126180650112 is a gapful number since it is divisible by the number (12) 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 126180650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203657932800).

126180650112 is an abundant number, since it is smaller than the sum of its proper divisors (281135215488).

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

126180650112 is a wasteful number, since it uses less digits than its factorization.

126180650112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 126180650112 in words is "one hundred twenty-six billion, one hundred eighty million, six hundred fifty thousand, one hundred twelve".