126201321525180 has 768 divisors, whose sum is σ = 425320200732672. Its totient is φ = 27603044352000.

The previous prime is 126201321525137. The next prime is 126201321525241. The reversal of 126201321525180 is 81525123102621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17028915675 + ... + 17028923085.

It is an arithmetic number, because the mean of its divisors is an integer number (553802344704).

Almost surely, 2^{126201321525180} is an apocalyptic number.

126201321525180 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 126201321525180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212660100366336).

126201321525180 is an abundant number, since it is smaller than the sum of its proper divisors (299118879207492).

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

126201321525180 is a wasteful number, since it uses less digits than its factorization.

126201321525180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 126201321525180 in words is "one hundred twenty-six trillion, two hundred one billion, three hundred twenty-one million, five hundred twenty-five thousand, one hundred eighty".