121145520200 has 48 divisors (see below), whose sum is σ = 281712856500. Its totient is φ = 48449688320.

The previous prime is 121145520131. The next prime is 121145520203. The reversal of 121145520200 is 2025541121.

It can be written as a sum of positive squares in 6 ways, for example, as 100143134116 + 21002386084 = 316454^2 + 144922^2 .

It is a super-3 number, since 3×121145520200³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121145520203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1155566 + ... + 1256034.

Almost surely, 2^121145520200 is an apocalyptic number.

121145520200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121145520200 is an abundant number, since it is smaller than the sum of its proper divisors (160567336300).

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

121145520200 is a wasteful number, since it uses less digits than its factorization.

121145520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106514 (or 106505 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 121145520200 in words is "one hundred twenty-one billion, one hundred forty-five million, five hundred twenty thousand, two hundred".