121312211300 has 144 divisors (see below), whose sum is σ = 311504645760. Its totient is φ = 40122915840.

The previous prime is 121312211239. The next prime is 121312211311. The reversal of 121312211300 is 3112213121.

It is a super-3 number, since 3×121312211300³ (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33026264 + ... + 33029936.

Almost surely, 2^121312211300 is an apocalyptic number.

121312211300 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 121312211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155752322880).

121312211300 is an abundant number, since it is smaller than the sum of its proper divisors (190192434460).

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

121312211300 is a wasteful number, since it uses less digits than its factorization.

121312211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 121312211300 its reverse (3112213121), we get a palindrome (124424424421).

The spelling of 121312211300 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred eleven thousand, three hundred".