2248145122000 has 40 divisors (see below), whose sum is σ = 5436014909832. Its totient is φ = 899258048000.

The previous prime is 2248145121991. The next prime is 2248145122009. The reversal of 2248145122000 is 2215418422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2248145121991) and next prime (2248145122009).

It can be written as a sum of positive squares in 4 ways, for example, as 579924894784 + 1668220227216 = 761528^2 + 1291596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248145122009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562034281 + ... + 562038280.

Almost surely, 2^{2248145122000} is an apocalyptic number.

2248145122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248145122000 is an abundant number, since it is smaller than the sum of its proper divisors (3187869787832).

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

2248145122000 is a wasteful number, since it uses less digits than its factorization.

2248145122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124072584 (or 1124072568 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 2248145122000 in words is "two trillion, two hundred forty-eight billion, one hundred forty-five million, one hundred twenty-two thousand".