2251361121012 has 72 divisors (see below), whose sum is σ = 5791020842880. Its totient is φ = 737272243200.

The previous prime is 2251361121011. The next prime is 2251361121041. The reversal of 2251361121012 is 2101211631522.

It is a happy number.

2251361121012 is a `hidden beast` number, since 2 + 2 + 5 + 13 + 611 + 21 + 0 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251361121011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069493 + ... + 3731555.

It is an arithmetic number, because the mean of its divisors is an integer number (80430845040).

Almost surely, 2^{2251361121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251361121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895510421440).

2251361121012 is an abundant number, since it is smaller than the sum of its proper divisors (3539659721868).

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

2251361121012 is a wasteful number, since it uses less digits than its factorization.

2251361121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663733 (or 663728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2251361121012 its reverse (2101211631522), we get a palindrome (4352572752534).

The spelling of 2251361121012 in words is "two trillion, two hundred fifty-one billion, three hundred sixty-one million, one hundred twenty-one thousand, twelve".