2251128714120 has 640 divisors, whose sum is σ = 8905737456000. Its totient is φ = 502804869120.

The previous prime is 2251128714013. The next prime is 2251128714127. The reversal of 2251128714120 is 214178211522.

2251128714120 is a `hidden beast` number, since 2 + 2 + 51 + 128 + 71 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2251128714127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 263624811 + ... + 263633349.

It is an arithmetic number, because the mean of its divisors is an integer number (13915214775).

Almost surely, 2^{2251128714120} is an apocalyptic number.

2251128714120 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 2251128714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452868728000).

2251128714120 is an abundant number, since it is smaller than the sum of its proper divisors (6654608741880).

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

2251128714120 is a wasteful number, since it uses less digits than its factorization.

2251128714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 2251128714120 in words is "two trillion, two hundred fifty-one billion, one hundred twenty-eight million, seven hundred fourteen thousand, one hundred twenty".