1512006306140 has 192 divisors, whose sum is σ = 3714746894208. Its totient is φ = 510866227200.

The previous prime is 1512006306127. The next prime is 1512006306143. The reversal of 1512006306140 is 416036002151.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1512006306143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108606380 + ... + 108620300.

It is an arithmetic number, because the mean of its divisors is an integer number (19347640074).

Almost surely, 2^{1512006306140} is an apocalyptic number.

1512006306140 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 1512006306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857373447104).

1512006306140 is an abundant number, since it is smaller than the sum of its proper divisors (2202740588068).

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

1512006306140 is a wasteful number, since it uses less digits than its factorization.

1512006306140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14326 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 1512006306140 in words is "one trillion, five hundred twelve billion, six million, three hundred six thousand, one hundred forty".