2973400201200 has 960 divisors, whose sum is σ = 11563096914432. Its totient is φ = 643413196800.

The previous prime is 2973400201193. The next prime is 2973400201223. The reversal of 2973400201200 is 21020043792.

It is a super-2 number, since 2×2973400201200² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098410247 + ... + 1098412953.

Almost surely, 2^{2973400201200} is an apocalyptic number.

2973400201200 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 2973400201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781548457216).

2973400201200 is an abundant number, since it is smaller than the sum of its proper divisors (8589696713232).

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

2973400201200 is a wasteful number, since it uses less digits than its factorization.

2973400201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 2973400201200 its reverse (21020043792), we get a palindrome (2994420244992).

The spelling of 2973400201200 in words is "two trillion, nine hundred seventy-three billion, four hundred million, two hundred one thousand, two hundred".