129259390792900 has 243 divisors, whose sum is σ = 290022217707117. Its totient is φ = 50004602155200.

The previous prime is 129259390792787. The next prime is 129259390792913. The reversal of 129259390792900 is 9297093952921.

The square root of 129259390792900 is 11369230.

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., 46533380685444 + 82726010107456 = 6821538^2 + 9095384^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 540834270981 + ... + 540834271219.

Almost surely, 2^{129259390792900} is an apocalyptic number.

129259390792900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129259390792900 is the 11369230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129259390792900

129259390792900 is an abundant number, since it is smaller than the sum of its proper divisors (160762826914217).

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

129259390792900 is an frugal number, since it uses more digits than its factorization.

129259390792900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 67.

The spelling of 129259390792900 in words is "one hundred twenty-nine trillion, two hundred fifty-nine billion, three hundred ninety million, seven hundred ninety-two thousand, nine hundred".