121114114000 has 80 divisors (see below), whose sum is σ = 319477070016. Its totient is φ = 44041488000.

The previous prime is 121114113997. The next prime is 121114114013. The reversal of 121114114000 is 411411121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121114114000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730594 + ... + 2774593.

Almost surely, 2^121114114000 is an apocalyptic number.

121114114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121114114000 is an abundant number, since it is smaller than the sum of its proper divisors (198362956016).

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

121114114000 is a wasteful number, since it uses less digits than its factorization.

121114114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505221 (or 5505205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121114114000 its reverse (411411121), we get a palindrome (121525525121).

The spelling of 121114114000 in words is "one hundred twenty-one billion, one hundred fourteen million, one hundred fourteen thousand".