1016129622200 has 384 divisors, whose sum is σ = 2977652275200. Its totient is φ = 313274304000.

The previous prime is 1016129622187. The next prime is 1016129622271. The reversal of 1016129622200 is 22269216101.

It is a super-2 number, since 2×1016129622200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581641727 + ... + 581643473.

It is an arithmetic number, because the mean of its divisors is an integer number (7754302800).

Almost surely, 2^{1016129622200} is an apocalyptic number.

1016129622200 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 1016129622200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488826137600).

1016129622200 is an abundant number, since it is smaller than the sum of its proper divisors (1961522653000).

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

1016129622200 is a wasteful number, since it uses less digits than its factorization.

1016129622200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 1016129622200 in words is "one trillion, sixteen billion, one hundred twenty-nine million, six hundred twenty-two thousand, two hundred".