122267249280 has 512 divisors, whose sum is σ = 492952780800. Its totient is φ = 28350812160.

The previous prime is 122267249219. The next prime is 122267249297. The reversal of 122267249280 is 82942762221.

122267249280 is a `hidden beast` number, since 1 + 2 + 22 + 67 + 2 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4357857 + ... + 4385823.

It is an arithmetic number, because the mean of its divisors is an integer number (962798400).

Almost surely, 2^122267249280 is an apocalyptic number.

122267249280 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 122267249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246476390400).

122267249280 is an abundant number, since it is smaller than the sum of its proper divisors (370685531520).

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

122267249280 is a wasteful number, since it uses less digits than its factorization.

122267249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28029 (or 28011 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 12226724 and 9280, that added together give a square (12236004 = 3498²).

The spelling of 122267249280 in words is "one hundred twenty-two billion, two hundred sixty-seven million, two hundred forty-nine thousand, two hundred eighty".