126216255677600 has 144 divisors (see below), whose sum is σ = 337099988282400. Its totient is φ = 45765309619200.

The previous prime is 126216255677509. The next prime is 126216255677621. The reversal of 126216255677600 is 6776552612621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17477162 + ... + 23619561.

It is an arithmetic number, because the mean of its divisors is an integer number (2340972140850).

Almost surely, 2^{126216255677600} is an apocalyptic number.

126216255677600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126216255677600 is an abundant number, since it is smaller than the sum of its proper divisors (210883732604800).

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

126216255677600 is a wasteful number, since it uses less digits than its factorization.

126216255677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41097103 (or 41097090 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 126216255677600 in words is "one hundred twenty-six trillion, two hundred sixteen billion, two hundred fifty-five million, six hundred seventy-seven thousand, six hundred".