126222615041220 has 72 divisors (see below), whose sum is σ = 386387882800920. Its totient is φ = 33350562501120.

The previous prime is 126222615041161. The next prime is 126222615041233. The reversal of 126222615041220 is 22140516222621.

126222615041220 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 2 + 2 + 615 + 0 + 4 + 12 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50892158247876 + 75330456793344 = 7133874^2 + 8679312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216662721 + ... + 3216701960.

It is an arithmetic number, because the mean of its divisors is an integer number (5366498372235).

Almost surely, 2^{126222615041220} is an apocalyptic number.

126222615041220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126222615041220 is an abundant number, since it is smaller than the sum of its proper divisors (260165267759700).

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

126222615041220 is a wasteful number, since it uses less digits than its factorization.

126222615041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433364805 (or 6433364800 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 126222615041220 in words is "one hundred twenty-six trillion, two hundred twenty-two billion, six hundred fifteen million, forty-one thousand, two hundred twenty".