1289292120900 has 243 divisors, whose sum is σ = 4701874242429. Its totient is φ = 294640839360.

The previous prime is 1289292120877. The next prime is 1289292120923. The reversal of 1289292120900 is 90212929821.

The square root of 1289292120900 is 1135470.

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

It is an interprime number because it is at equal distance from previous prime (1289292120877) and next prime (1289292120923).

It can be written as a sum of positive squares in only one way, i.e., 464145163524 + 825146957376 = 681282^2 + 908376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 238445997 + ... + 238451403.

Almost surely, 2^{1289292120900} is an apocalyptic number.

1289292120900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1289292120900 is the 1135470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289292120900

1289292120900 is an abundant number, since it is smaller than the sum of its proper divisors (3412582121529).

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

1289292120900 is an equidigital number, since it uses as much as digits as its factorization.

1289292120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1289292120900 in words is "one trillion, two hundred eighty-nine billion, two hundred ninety-two million, one hundred twenty thousand, nine hundred".