3144120223200 has 576 divisors, whose sum is σ = 11311713504000. Its totient is φ = 752209920000.

The previous prime is 3144120223129. The next prime is 3144120223241. The reversal of 3144120223200 is 23220214413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 898575051 + ... + 898578549.

It is an arithmetic number, because the mean of its divisors is an integer number (19638391500).

Almost surely, 2^{3144120223200} is an apocalyptic number.

3144120223200 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 3144120223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655856752000).

3144120223200 is an abundant number, since it is smaller than the sum of its proper divisors (8167593280800).

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

3144120223200 is a wasteful number, since it uses less digits than its factorization.

3144120223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3144120223200 its reverse (23220214413), we get a palindrome (3167340437613).

The spelling of 3144120223200 in words is "three trillion, one hundred forty-four billion, one hundred twenty million, two hundred twenty-three thousand, two hundred".