12011312040 has 512 divisors, whose sum is σ = 45790617600. Its totient is φ = 2453483520.

The previous prime is 12011311979. The next prime is 12011312059. The reversal of 12011312040 is 4021311021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66360750 + ... + 66360930.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 2^12011312040 is an apocalyptic number.

12011312040 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 12011312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895308800).

12011312040 is an abundant number, since it is smaller than the sum of its proper divisors (33779305560).

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

12011312040 is a wasteful number, since it uses less digits than its factorization.

12011312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12011312040 its reverse (4021311021), we get a palindrome (16032623061).

The spelling of 12011312040 in words is "twelve billion, eleven million, three hundred twelve thousand, forty".