1290123600 has 60 divisors (see below), whose sum is σ = 4132699776. Its totient is φ = 344032640.

The previous prime is 1290123473. The next prime is 1290123607. The reversal of 1290123600 is 63210921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290123607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536352 + ... + 538751.

Almost surely, 2^1290123600 is an apocalyptic number.

1290123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290123600 is an abundant number, since it is smaller than the sum of its proper divisors (2842576176).

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

1290123600 is a wasteful number, since it uses less digits than its factorization.

1290123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075124 (or 1075113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1290123600 is about 35918.2906052056. The cubic root of 1290123600 is about 1088.6219996248.

The spelling of 1290123600 in words is "one billion, two hundred ninety million, one hundred twenty-three thousand, six hundred".