121102112012000 has 192 divisors, whose sum is σ = 343421617069440. Its totient is φ = 41109626880000.

The previous prime is 121102112011987. The next prime is 121102112012047. The reversal of 121102112012000 is 210211201121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18583265 + ... + 24239264.

It is an arithmetic number, because the mean of its divisors is an integer number (1788654255570).

Almost surely, 2^{121102112012000} is an apocalyptic number.

121102112012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102112012000 is an abundant number, since it is smaller than the sum of its proper divisors (222319505057440).

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

121102112012000 is a wasteful number, since it uses less digits than its factorization.

121102112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42822662 (or 42822644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121102112012000 its reverse (210211201121), we get a palindrome (121312323213121).

The spelling of 121102112012000 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twelve million, twelve thousand".