4122970599600 has 840 divisors, whose sum is σ = 15688438351872. Its totient is φ = 1039150425600.

The previous prime is 4122970599563. The next prime is 4122970599637. The reversal of 4122970599600 is 69950792214.

4122970599600 is a `hidden beast` number, since 4 + 1 + 2 + 29 + 7 + 0 + 5 + 9 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4122970599563) and next prime (4122970599637).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 388697497 + ... + 388708103.

Almost surely, 2^{4122970599600} is an apocalyptic number.

4122970599600 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 4122970599600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844219175936).

4122970599600 is an abundant number, since it is smaller than the sum of its proper divisors (11565467752272).

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

4122970599600 is a wasteful number, since it uses less digits than its factorization.

4122970599600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 4122970599600 in words is "four trillion, one hundred twenty-two billion, nine hundred seventy million, five hundred ninety-nine thousand, six hundred".