360141012000 has 2304 divisors, whose sum is σ = 1713273569280. Its totient is φ = 71850240000.

The previous prime is 360141011983. The next prime is 360141012017. The reversal of 360141012000 is 210141063.

It is a happy number.

360141012000 is a `hidden beast` number, since 3 + 601 + 41 + 0 + 1 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (360141011983) and next prime (360141012017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2835755937 + ... + 2835756063.

It is an arithmetic number, because the mean of its divisors is an integer number (743608320).

Almost surely, 2^360141012000 is an apocalyptic number.

360141012000 is a gapful number since it is divisible by the number (30) 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 360141012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856636784640).

360141012000 is an abundant number, since it is smaller than the sum of its proper divisors (1353132557280).

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

360141012000 is a wasteful number, since it uses less digits than its factorization.

360141012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 360141012000 its reverse (210141063), we get a palindrome (360351153063).

The spelling of 360141012000 in words is "three hundred sixty billion, one hundred forty-one million, twelve thousand".