2134322131200 has 864 divisors, whose sum is σ = 8595832498176. Its totient is φ = 455754055680.

The previous prime is 2134322131187. The next prime is 2134322131247. The reversal of 2134322131200 is 21312234312.

It is a super-2 number, since 2×2134322131200² (a number of 25 digits) contains 22 as substring.

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

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, 132913572 + ... + 132929628.

Almost surely, 2^{2134322131200} is an apocalyptic number.

2134322131200 is a gapful number since it is divisible by the number (20) 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 2134322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297916249088).

2134322131200 is an abundant number, since it is smaller than the sum of its proper divisors (6461510366976).

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

2134322131200 is a wasteful number, since it uses less digits than its factorization.

2134322131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16159 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2134322131200 its reverse (21312234312), we get a palindrome (2155634365512).

The spelling of 2134322131200 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".