1001200001120 has 96 divisors (see below), whose sum is σ = 2580762552480. Its totient is φ = 364016701440.

The previous prime is 1001200001117. The next prime is 1001200001141. The reversal of 1001200001120 is 211000021001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001200001098 and 1001200001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12401204 + ... + 12481676.

It is an arithmetic number, because the mean of its divisors is an integer number (26882943255).

Almost surely, 2^{1001200001120} is an apocalyptic number.

1001200001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200001120 is an abundant number, since it is smaller than the sum of its proper divisors (1579562551360).

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

1001200001120 is a wasteful number, since it uses less digits than its factorization.

1001200001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87568 (or 87560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001200001120 its reverse (211000021001), we get a palindrome (1212200022121).

The spelling of 1001200001120 in words is "one trillion, one billion, two hundred million, one thousand, one hundred twenty".