1051661031120 has 600 divisors, whose sum is σ = 4223243337984. Its totient is φ = 237597566976.

The previous prime is 1051661031103. The next prime is 1051661031131. The reversal of 1051661031120 is 211301661501.

1051661031120 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 610 + 31 + 12 + 0 = 666.

It is a super-2 number, since 2×1051661031120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 359295097 + ... + 359298023.

Almost surely, 2^{1051661031120} is an apocalyptic number.

1051661031120 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 1051661031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111621668992).

1051661031120 is an abundant number, since it is smaller than the sum of its proper divisors (3171582306864).

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

1051661031120 is an equidigital number, since it uses as much as digits as its factorization.

1051661031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1051661031120 its reverse (211301661501), we get a palindrome (1262962692621).

The spelling of 1051661031120 in words is "one trillion, fifty-one billion, six hundred sixty-one million, thirty-one thousand, one hundred twenty".