1061081224200 has 384 divisors, whose sum is σ = 3917628720000. Its totient is φ = 266308715520.

The previous prime is 1061081224171. The next prime is 1061081224243. The reversal of 1061081224200 is 24221801601.

1061081224200 is a `hidden beast` number, since 1 + 0 + 610 + 8 + 1 + 2 + 2 + 42 + 0 + 0 = 666.

It is a super-2 number, since 2×1061081224200² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7364451 + ... + 7507149.

It is an arithmetic number, because the mean of its divisors is an integer number (10202158125).

Almost surely, 2^{1061081224200} is an apocalyptic number.

1061081224200 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 1061081224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958814360000).

1061081224200 is an abundant number, since it is smaller than the sum of its proper divisors (2856547495800).

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

1061081224200 is a wasteful number, since it uses less digits than its factorization.

1061081224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142753 (or 142726 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1061081224200 in words is "one trillion, sixty-one billion, eighty-one million, two hundred twenty-four thousand, two hundred".