126516447277220 has 576 divisors, whose sum is σ = 374944978501632. Its totient is φ = 35213076864000.

The previous prime is 126516447277217. The next prime is 126516447277223. The reversal of 126516447277220 is 22772744615621.

It is an interprime number because it is at equal distance from previous prime (126516447277217) and next prime (126516447277223).

It is a super-2 number, since 2×126516447277220² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126516447277223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23124919085 + ... + 23124924555.

It is an arithmetic number, because the mean of its divisors is an integer number (650946143232).

Almost surely, 2^{126516447277220} is an apocalyptic number.

126516447277220 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 126516447277220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187472489250816).

126516447277220 is an abundant number, since it is smaller than the sum of its proper divisors (248428531224412).

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

126516447277220 is a wasteful number, since it uses less digits than its factorization.

126516447277220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 126516447277220 in words is "one hundred twenty-six trillion, five hundred sixteen billion, four hundred forty-seven million, two hundred seventy-seven thousand, two hundred twenty".