114021061991200 has 864 divisors, whose sum is σ = 369422924169600. Its totient is φ = 33944366776320.

The previous prime is 114021061991189. The next prime is 114021061991203. The reversal of 114021061991200 is 2199160120411.

It is a self number, because there is not a number n which added to its sum of digits gives 114021061991200.

It is not an unprimeable number, because it can be changed into a prime (114021061991203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30659062941 + ... + 30659066659.

It is an arithmetic number, because the mean of its divisors is an integer number (427572828900).

Almost surely, 2^{114021061991200} is an apocalyptic number.

114021061991200 is a gapful number since it is divisible by the number (10) 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 114021061991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184711462084800).

114021061991200 is an abundant number, since it is smaller than the sum of its proper divisors (255401862178400).

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

114021061991200 is a wasteful number, since it uses less digits than its factorization.

114021061991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 114021061991200 in words is "one hundred fourteen trillion, twenty-one billion, sixty-one million, nine hundred ninety-one thousand, two hundred".