3132211412000 has 384 divisors, whose sum is σ = 8599538368512. Its totient is φ = 1111445376000.

The previous prime is 3132211411981. The next prime is 3132211412039. The reversal of 3132211412000 is 2141122313.

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 63 ways as a sum of consecutive naturals, for example, 758953937 + ... + 758958063.

It is an arithmetic number, because the mean of its divisors is an integer number (22394631168).

Almost surely, 2^{3132211412000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132211412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299769184256).

3132211412000 is an abundant number, since it is smaller than the sum of its proper divisors (5467326956512).

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

3132211412000 is a wasteful number, since it uses less digits than its factorization.

3132211412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3132211412000 its reverse (2141122313), we get a palindrome (3134352534313).

The spelling of 3132211412000 in words is "three trillion, one hundred thirty-two billion, two hundred eleven million, four hundred twelve thousand".