1126947561120 has 192 divisors, whose sum is σ = 3953474542080. Its totient is φ = 299821593600.

The previous prime is 1126947561107. The next prime is 1126947561133. The reversal of 1126947561120 is 211657496211.

1126947561120 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 4 + 7 + 5 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1126947561107) and next prime (1126947561133).

It is a super-2 number, since 2×1126947561120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559290 + ... + 2164550.

It is an arithmetic number, because the mean of its divisors is an integer number (20591013240).

Almost surely, 2^{1126947561120} is an apocalyptic number.

1126947561120 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 1126947561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976737271040).

1126947561120 is an abundant number, since it is smaller than the sum of its proper divisors (2826526980960).

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

1126947561120 is a wasteful number, since it uses less digits than its factorization.

1126947561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605716 (or 605702 counting only the distinct ones).

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

The spelling of 1126947561120 in words is "one trillion, one hundred twenty-six billion, nine hundred forty-seven million, five hundred sixty-one thousand, one hundred twenty".