4812970141200 has 240 divisors, whose sum is σ = 16605474431616. Its totient is φ = 1184591155200.

The previous prime is 4812970141127. The next prime is 4812970141207. The reversal of 4812970141200 is 21410792184.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4812970141207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208513660 + ... + 208536740.

Almost surely, 2^{4812970141200} is an apocalyptic number.

4812970141200 is a gapful number since it is divisible by the number (40) 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 4812970141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302737215808).

4812970141200 is an abundant number, since it is smaller than the sum of its proper divisors (11792504290416).

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

4812970141200 is a wasteful number, since it uses less digits than its factorization.

4812970141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36482 (or 36471 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 4812970141200 in words is "four trillion, eight hundred twelve billion, nine hundred seventy million, one hundred forty-one thousand, two hundred".