126121216987760 has 40 divisors (see below), whose sum is σ = 293233712600160. Its totient is φ = 50448162820352.

The previous prime is 126121216987721. The next prime is 126121216987783. The reversal of 126121216987760 is 67789612121621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126121216987760² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126121216987760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672109 + ... + 17638131.

It is an arithmetic number, because the mean of its divisors is an integer number (7330842815004).

Almost surely, 2^{126121216987760} is an apocalyptic number.

126121216987760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126121216987760 is an abundant number, since it is smaller than the sum of its proper divisors (167112495612400).

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

126121216987760 is a wasteful number, since it uses less digits than its factorization.

126121216987760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124225 (or 10124219 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 59.

The spelling of 126121216987760 in words is "one hundred twenty-six trillion, one hundred twenty-one billion, two hundred sixteen million, nine hundred eighty-seven thousand, seven hundred sixty".