1126890753120 has 1440 divisors, whose sum is σ = 4746028085568. Its totient is φ = 250601472000.

The previous prime is 1126890753119. The next prime is 1126890753139. The reversal of 1126890753120 is 213570986211.

1126890753120 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 90 + 7 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1093007005 + ... + 1093008035.

Almost surely, 2^{1126890753120} is an apocalyptic number.

1126890753120 is a gapful number since it is divisible by the number (10) 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 1126890753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373014042784).

1126890753120 is an abundant number, since it is smaller than the sum of its proper divisors (3619137332448).

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

1126890753120 is a wasteful number, since it uses less digits than its factorization.

1126890753120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1126890753120 in words is "one trillion, one hundred twenty-six billion, eight hundred ninety million, seven hundred fifty-three thousand, one hundred twenty".