3122245414200 has 384 divisors, whose sum is σ = 10745778297600. Its totient is φ = 743528448000.

The previous prime is 3122245414181. The next prime is 3122245414307. The reversal of 3122245414200 is 24145422213.

It is a happy number.

3122245414200 is digitally balanced in base 2, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810339474 + ... + 810343326.

It is an arithmetic number, because the mean of its divisors is an integer number (27983797650).

Almost surely, 2^{3122245414200} is an apocalyptic number.

3122245414200 is a gapful number since it is divisible by the number (30) 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 3122245414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372889148800).

3122245414200 is an abundant number, since it is smaller than the sum of its proper divisors (7623532883400).

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

3122245414200 is a wasteful number, since it uses less digits than its factorization.

3122245414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 3122245414200 in words is "three trillion, one hundred twenty-two billion, two hundred forty-five million, four hundred fourteen thousand, two hundred".