12061859040 has 1344 divisors, whose sum is σ = 57114408960. Its totient is φ = 2329067520.

The previous prime is 12061859039. The next prime is 12061859041. The reversal of 12061859040 is 4095816021.

12061859040 is a `hidden beast` number, since 1 + 2 + 0 + 61 + 8 + 590 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12061859039) and next prime (12061859041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12061858986 and 12061859004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061859041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 152681721 + ... + 152681799.

It is an arithmetic number, because the mean of its divisors is an integer number (42495840).

Almost surely, 2^12061859040 is an apocalyptic number.

12061859040 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 12061859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28557204480).

12061859040 is an abundant number, since it is smaller than the sum of its proper divisors (45052549920).

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

12061859040 is a wasteful number, since it uses less digits than its factorization.

12061859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12061859040 in words is "twelve billion, sixty-one million, eight hundred fifty-nine thousand, forty".