1126379520000 has 1600 divisors, whose sum is σ = 4855408459440. Its totient is φ = 254803968000.

The previous prime is 1126379519971. The next prime is 1126379520001. The reversal of 1126379520000 is 259736211.

1126379520000 is a `hidden beast` number, since 1 + 1 + 2 + 63 + 79 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126379520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11612159952 + ... + 11612160048.

Almost surely, 2^{1126379520000} is an apocalyptic number.

1126379520000 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 1126379520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427704229720).

1126379520000 is an abundant number, since it is smaller than the sum of its proper divisors (3729028939440).

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

1126379520000 is an frugal number, since it uses more digits than its factorization.

1126379520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1126379520000 in words is "one trillion, one hundred twenty-six billion, three hundred seventy-nine million, five hundred twenty thousand".