1001505412200 has 384 divisors, whose sum is σ = 3253870310400. Its totient is φ = 254521344000.

The previous prime is 1001505412163. The next prime is 1001505412267. The reversal of 1001505412200 is 22145051001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465166324 + ... + 465168476.

It is an arithmetic number, because the mean of its divisors is an integer number (8473620600).

Almost surely, 2^{1001505412200} is an apocalyptic number.

1001505412200 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 1001505412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626935155200).

1001505412200 is an abundant number, since it is smaller than the sum of its proper divisors (2252364898200).

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

1001505412200 is a wasteful number, since it uses less digits than its factorization.

1001505412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 1001505412200 in words is "one trillion, one billion, five hundred five million, four hundred twelve thousand, two hundred".