103914294120000 has 3780 divisors, whose sum is σ = 486569181033936. Its totient is φ = 21907791360000.

The previous prime is 103914294119921. The next prime is 103914294120029. The reversal of 103914294120000 is 21492419301.

103914294120000 is a `hidden beast` number, since 1 + 0 + 391 + 4 + 29 + 41 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 80491319355 + ... + 80491320645.

Almost surely, 2^{103914294120000} is an apocalyptic number.

103914294120000 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 103914294120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243284590516968).

103914294120000 is an abundant number, since it is smaller than the sum of its proper divisors (382654886913936).

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

103914294120000 is an equidigital number, since it uses as much as digits as its factorization.

103914294120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 103914294120000 in words is "one hundred three trillion, nine hundred fourteen billion, two hundred ninety-four million, one hundred twenty thousand".