1142250370128 has 640 divisors, whose sum is σ = 3945604608000. Its totient is φ = 309630117888.

The previous prime is 1142250370081. The next prime is 1142250370139. The reversal of 1142250370128 is 8210730522411.

1142250370128 is a `hidden beast` number, since 1 + 1 + 4 + 22 + 503 + 7 + 0 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1142250370092 and 1142250370101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 737410698 + ... + 737412246.

It is an arithmetic number, because the mean of its divisors is an integer number (6165007200).

Almost surely, 2^{1142250370128} is an apocalyptic number.

1142250370128 is a gapful number since it is divisible by the number (18) 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 1142250370128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972802304000).

1142250370128 is an abundant number, since it is smaller than the sum of its proper divisors (2803354237872).

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

1142250370128 is a wasteful number, since it uses less digits than its factorization.

1142250370128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 1142250370128 its reverse (8210730522411), we get a palindrome (9352980892539).

The spelling of 1142250370128 in words is "one trillion, one hundred forty-two billion, two hundred fifty million, three hundred seventy thousand, one hundred twenty-eight".