1126010430720 has 1728 divisors, whose sum is σ = 4901016207360. Its totient is φ = 232906752000.

The previous prime is 1126010430703. The next prime is 1126010430749. The reversal of 1126010430720 is 270340106211.

1126010430720 is a `hidden beast` number, since 1 + 1 + 2 + 601 + 0 + 4 + 30 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7172040882 + ... + 7172041038.

Almost surely, 2^{1126010430720} is an apocalyptic number.

1126010430720 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 1126010430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450508103680).

1126010430720 is an abundant number, since it is smaller than the sum of its proper divisors (3775005776640).

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

1126010430720 is a wasteful number, since it uses less digits than its factorization.

1126010430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 1126010430720 its reverse (270340106211), we get a palindrome (1396350536931).

It can be divided in two parts, 1126010 and 430720, that added together give a triangular number (1556730 = T₁₇₆₄).

The spelling of 1126010430720 in words is "one trillion, one hundred twenty-six billion, ten million, four hundred thirty thousand, seven hundred twenty".