121146185900 has 72 divisors (see below), whose sum is σ = 265992037920. Its totient is φ = 47886784000.

The previous prime is 121146185899. The next prime is 121146185903. The reversal of 121146185900 is 9581641121.

It is a happy number.

It is a super-3 number, since 3×121146185900³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121146185903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24125390 + ... + 24130410.

It is an arithmetic number, because the mean of its divisors is an integer number (3694333860).

Almost surely, 2^121146185900 is an apocalyptic number.

121146185900 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 121146185900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132996018960).

121146185900 is an abundant number, since it is smaller than the sum of its proper divisors (144845852020).

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

121146185900 is a wasteful number, since it uses less digits than its factorization.

121146185900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 121146185900 in words is "one hundred twenty-one billion, one hundred forty-six million, one hundred eighty-five thousand, nine hundred".