1322114011400 has 240 divisors, whose sum is σ = 3861886872900. Its totient is φ = 418425315840.

The previous prime is 1322114011391. The next prime is 1322114011441. The reversal of 1322114011400 is 41104112231.

It can be written as a sum of positive squares in 6 ways, for example, as 605013286276 + 717100725124 = 777826^2 + 846818^2 .

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 59 ways as a sum of consecutive naturals, for example, 6136706 + ... + 6348494.

Almost surely, 2^{1322114011400} is an apocalyptic number.

1322114011400 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 1322114011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930943436450).

1322114011400 is an abundant number, since it is smaller than the sum of its proper divisors (2539772861500).

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

1322114011400 is a wasteful number, since it uses less digits than its factorization.

1322114011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211846 (or 211816 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1322114011400 its reverse (41104112231), we get a palindrome (1363218123631).

The spelling of 1322114011400 in words is "one trillion, three hundred twenty-two billion, one hundred fourteen million, eleven thousand, four hundred".