121142978120 has 32 divisors (see below), whose sum is σ = 272611785600. Its totient is φ = 48450065088.

The previous prime is 121142978087. The next prime is 121142978153. The reversal of 121142978120 is 21879241121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121142978087) and next prime (121142978153).

It is a super-3 number, since 3×121142978120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57041 + ... + 495519.

It is an arithmetic number, because the mean of its divisors is an integer number (8519118300).

Almost surely, 2^121142978120 is an apocalyptic number.

121142978120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121142978120 is an abundant number, since it is smaller than the sum of its proper divisors (151468807480).

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

121142978120 is a wasteful number, since it uses less digits than its factorization.

121142978120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445397 (or 445393 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 121142978120 in words is "one hundred twenty-one billion, one hundred forty-two million, nine hundred seventy-eight thousand, one hundred twenty".