121310112000 has 576 divisors, whose sum is σ = 502386812928. Its totient is φ = 25205760000.

The previous prime is 121310111999. The next prime is 121310112013. The reversal of 121310112000 is 211013121.

It is a super-2 number, since 2×121310112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7383795 + ... + 7400205.

It is an arithmetic number, because the mean of its divisors is an integer number (872199328).

Almost surely, 2^121310112000 is an apocalyptic number.

121310112000 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 121310112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251193406464).

121310112000 is an abundant number, since it is smaller than the sum of its proper divisors (381076700928).

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

121310112000 is a wasteful number, since it uses less digits than its factorization.

121310112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16463 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121310112000 its reverse (211013121), we get a palindrome (121521125121).

The spelling of 121310112000 in words is "one hundred twenty-one billion, three hundred ten million, one hundred twelve thousand".