42100124343200 has 288 divisors, whose sum is σ = 132270942117888. Its totient is φ = 12698822016000.

The previous prime is 42100124343191. The next prime is 42100124343247. The reversal of 42100124343200 is 234342100124.

It is a self number, because there is not a number n which added to its sum of digits gives 42100124343200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9113684 + ... + 12932883.

It is an arithmetic number, because the mean of its divisors is an integer number (459274104576).

Almost surely, 2^{42100124343200} is an apocalyptic number.

42100124343200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100124343200 is an abundant number, since it is smaller than the sum of its proper divisors (90170817774688).

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

42100124343200 is a wasteful number, since it uses less digits than its factorization.

42100124343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046636 (or 22046623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42100124343200 its reverse (234342100124), we get a palindrome (42334466443324).

The spelling of 42100124343200 in words is "forty-two trillion, one hundred billion, one hundred twenty-four million, three hundred forty-three thousand, two hundred".