122211201440 has 96 divisors (see below), whose sum is σ = 298831680000. Its totient is φ = 47174837248.

The previous prime is 122211201439. The next prime is 122211201491. The reversal of 122211201440 is 44102112221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125871 + ... + 11136849.

It is an arithmetic number, because the mean of its divisors is an integer number (3112830000).

Almost surely, 2^122211201440 is an apocalyptic number.

122211201440 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 122211201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840000).

122211201440 is an abundant number, since it is smaller than the sum of its proper divisors (176620478560).

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

122211201440 is a wasteful number, since it uses less digits than its factorization.

122211201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122211201440 its reverse (44102112221), we get a palindrome (166313313661).

The spelling of 122211201440 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, four hundred forty".