74120211111100 has 576 divisors, whose sum is σ = 220125173087232. Its totient is φ = 20957405184000.

The previous prime is 74120211111097. The next prime is 74120211111103. The reversal of 74120211111100 is 111111202147.

It is an interprime number because it is at equal distance from previous prime (74120211111097) and next prime (74120211111103).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74120211111103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445369504 + ... + 445535896.

It is an arithmetic number, because the mean of its divisors is an integer number (382161758832).

Almost surely, 2^{74120211111100} is an apocalyptic number.

74120211111100 is a gapful number since it is divisible by the number (70) 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 74120211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110062586543616).

74120211111100 is an abundant number, since it is smaller than the sum of its proper divisors (146004961976132).

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

74120211111100 is a wasteful number, since it uses less digits than its factorization.

74120211111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166566 (or 166559 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 74120211111100 its reverse (111111202147), we get a palindrome (74231322313247).

The spelling of 74120211111100 in words is "seventy-four trillion, one hundred twenty billion, two hundred eleven million, one hundred eleven thousand, one hundred".