2301200221120 has 112 divisors (see below), whose sum is σ = 5558880830400. Its totient is φ = 907194122240.

The previous prime is 2301200221087. The next prime is 2301200221153. The reversal of 2301200221120 is 211220021032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2301200221087) and next prime (2301200221153).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2301200221094 and 2301200221103.

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, 70165686 + ... + 70198474.

Almost surely, 2^{2301200221120} is an apocalyptic number.

2301200221120 is a gapful number since it is divisible by the number (20) 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 2301200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779440415200).

2301200221120 is an abundant number, since it is smaller than the sum of its proper divisors (3257680609280).

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

2301200221120 is a wasteful number, since it uses less digits than its factorization.

2301200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35966 (or 35956 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2301200221120 its reverse (211220021032), we get a palindrome (2512420242152).

The spelling of 2301200221120 in words is "two trillion, three hundred one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".