122267800800 has 216 divisors, whose sum is σ = 431483008320. Its totient is φ = 32579328000.

The previous prime is 122267800703. The next prime is 122267800801. The reversal of 122267800800 is 8008762221.

It is a happy number.

It is a super-2 number, since 2×122267800800² (a number of 23 digits) contains 22 as substring.

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 (122267800801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10354900 + ... + 10366700.

It is an arithmetic number, because the mean of its divisors is an integer number (1997606520).

Almost surely, 2^122267800800 is an apocalyptic number.

122267800800 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 122267800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215741504160).

122267800800 is an abundant number, since it is smaller than the sum of its proper divisors (309215207520).

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

122267800800 is a wasteful number, since it uses less digits than its factorization.

122267800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 122267800800 in words is "one hundred twenty-two billion, two hundred sixty-seven million, eight hundred thousand, eight hundred".