122271771020800 has 240 divisors, whose sum is σ = 303776190508032. Its totient is φ = 48773510553600.

The previous prime is 122271771020771. The next prime is 122271771020803. The reversal of 122271771020800 is 8020177172221.

It is a happy number.

122271771020800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122271771020803) 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, 9867782605 + ... + 9867794995.

Almost surely, 2^{122271771020800} is an apocalyptic number.

122271771020800 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 122271771020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151888095254016).

122271771020800 is an abundant number, since it is smaller than the sum of its proper divisors (181504419487232).

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

122271771020800 is a wasteful number, since it uses less digits than its factorization.

122271771020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The spelling of 122271771020800 in words is "one hundred twenty-two trillion, two hundred seventy-one billion, seven hundred seventy-one million, twenty thousand, eight hundred".