272284041222000 has 120 divisors (see below), whose sum is σ = 950997394704240. Its totient is φ = 72609077654400.

The previous prime is 272284041221999. The next prime is 272284041222001. The reversal of 272284041222000 is 222140482272.

272284041222000 is a `hidden beast` number, since 2 + 7 + 2 + 28 + 404 + 1 + 2 + 220 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (272284041221999) and next prime (272284041222001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272284041222001) by changing a digit.

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, 7563427590 + ... + 7563463589.

It is an arithmetic number, because the mean of its divisors is an integer number (7924978289202).

Almost surely, 2^{272284041222000} is an apocalyptic number.

272284041222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272284041222000 is an abundant number, since it is smaller than the sum of its proper divisors (678713353482240).

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

272284041222000 is a wasteful number, since it uses less digits than its factorization.

272284041222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15126891208 (or 15126891189 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 272284041222000 in words is "two hundred seventy-two trillion, two hundred eighty-four billion, forty-one million, two hundred twenty-two thousand".