6012119040 has 384 divisors, whose sum is σ = 20530298880. Its totient is φ = 1498742784.

The previous prime is 6012119039. The next prime is 6012119041. The reversal of 6012119040 is 409112106.

It is an interprime number because it is at equal distance from previous prime (6012119039) and next prime (6012119041).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6012119040² = 72291150702261043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6012119040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012119041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47339457 + ... + 47339583.

It is an arithmetic number, because the mean of its divisors is an integer number (53464320).

Almost surely, 2^6012119040 is an apocalyptic number.

6012119040 is a gapful number since it is divisible by the number (60) 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 6012119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265149440).

6012119040 is an abundant number, since it is smaller than the sum of its proper divisors (14518179840).

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

6012119040 is a wasteful number, since it uses less digits than its factorization.

6012119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 6012119040 is about 77537.8555287674. The cubic root of 6012119040 is about 1818.3432009964.

The spelling of 6012119040 in words is "six billion, twelve million, one hundred nineteen thousand, forty".