1229016132100 has 81 divisors (see below), whose sum is σ = 2714378538837. Its totient is φ = 483016942560.

The previous prime is 1229016132073. The next prime is 1229016132119. The reversal of 1229016132100 is 12316109221.

The square root of 1229016132100 is 1108610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442445807556 + 786570324544 = 665166^2 + 886888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 654078961 + ... + 654080839.

Almost surely, 2^{1229016132100} is an apocalyptic number.

1229016132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1229016132100 is the 1108610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229016132100

1229016132100 is an abundant number, since it is smaller than the sum of its proper divisors (1485362406737).

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

1229016132100 is an frugal number, since it uses more digits than its factorization.

1229016132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

It can be divided in two parts, 122901 and 6132100, that added together give a square (6255001 = 2501²).

The spelling of 1229016132100 in words is "one trillion, two hundred twenty-nine billion, sixteen million, one hundred thirty-two thousand, one hundred".