10120311014000 has 480 divisors, whose sum is σ = 27888065674560. Its totient is φ = 3546808320000.

The previous prime is 10120311013991. The next prime is 10120311014017. The reversal of 10120311014000 is 41011302101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823519856 + ... + 823532144.

It is an arithmetic number, because the mean of its divisors is an integer number (58100136822).

Almost surely, 2^{10120311014000} is an apocalyptic number.

10120311014000 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 10120311014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944032837280).

10120311014000 is an abundant number, since it is smaller than the sum of its proper divisors (17767754660560).

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

10120311014000 is a wasteful number, since it uses less digits than its factorization.

10120311014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10120311014000 its reverse (41011302101), we get a palindrome (10161322316101).

The spelling of 10120311014000 in words is "ten trillion, one hundred twenty billion, three hundred eleven million, fourteen thousand".