27121121300 has 144 divisors (see below), whose sum is σ = 73250311680. Its totient is φ = 8486691840.

The previous prime is 27121121273. The next prime is 27121121317. The reversal of 27121121300 is 312112172.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793157 + ... + 826643.

It is an arithmetic number, because the mean of its divisors is an integer number (508682720).

Almost surely, 2^27121121300 is an apocalyptic number.

27121121300 is a gapful number since it is divisible by the number (20) 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 27121121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36625155840).

27121121300 is an abundant number, since it is smaller than the sum of its proper divisors (46129190380).

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

27121121300 is a wasteful number, since it uses less digits than its factorization.

27121121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33610 (or 33603 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 27121121300 its reverse (312112172), we get a palindrome (27433233472).

The spelling of 27121121300 in words is "twenty-seven billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred".