121000113300 has 288 divisors, whose sum is σ = 395805916800. Its totient is φ = 28270592000.

The previous prime is 121000113277. The next prime is 121000113301. The reversal of 121000113300 is 3311000121.

It is a super-2 number, since 2×121000113300² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000113301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88904620 + ... + 88905980.

It is an arithmetic number, because the mean of its divisors is an integer number (1374326100).

Almost surely, 2^121000113300 is an apocalyptic number.

121000113300 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 121000113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197902958400).

121000113300 is an abundant number, since it is smaller than the sum of its proper divisors (274805803500).

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

121000113300 is a wasteful number, since it uses less digits than its factorization.

121000113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 121000113300 its reverse (3311000121), we get a palindrome (124311113421).

The spelling of 121000113300 in words is "one hundred twenty-one billion, one hundred thirteen thousand, three hundred".