1061177456412 has 240 divisors, whose sum is σ = 2890231787520. Its totient is φ = 339149462400.

The previous prime is 1061177456401. The next prime is 1061177456413. The reversal of 1061177456412 is 2146547711601.

1061177456412 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 7 + 74 + 564 + 12 = 666.

It is a super-2 number, since 2×1061177456412² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061177456413) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 536218039 + ... + 536220017.

It is an arithmetic number, because the mean of its divisors is an integer number (12042632448).

Almost surely, 2^{1061177456412} is an apocalyptic number.

1061177456412 is a gapful number since it is divisible by the number (12) 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 1061177456412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445115893760).

1061177456412 is an abundant number, since it is smaller than the sum of its proper divisors (1829054331108).

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

1061177456412 is a wasteful number, since it uses less digits than its factorization.

1061177456412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1061177456412 in words is "one trillion, sixty-one billion, one hundred seventy-seven million, four hundred fifty-six thousand, four hundred twelve".