12205473240 has 128 divisors (see below), whose sum is σ = 37666944000. Its totient is φ = 3162421248.

The previous prime is 12205473209. The next prime is 12205473263. The reversal of 12205473240 is 4237450221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12205473198 and 12205473207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776176 + ... + 791744.

It is an arithmetic number, because the mean of its divisors is an integer number (294273000).

Almost surely, 2^12205473240 is an apocalyptic number.

12205473240 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 12205473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833472000).

12205473240 is an abundant number, since it is smaller than the sum of its proper divisors (25461470760).

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

12205473240 is a wasteful number, since it uses less digits than its factorization.

12205473240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15769 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 12205473240 in words is "twelve billion, two hundred five million, four hundred seventy-three thousand, two hundred forty".