1301123101200 has 240 divisors, whose sum is σ = 4497184411776. Its totient is φ = 319659724800.

The previous prime is 1301123101189. The next prime is 1301123101211. The reversal of 1301123101200 is 21013211031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1301123101189) and next prime (1301123101211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301123101200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8047557 + ... + 8207643.

Almost surely, 2^{1301123101200} is an apocalyptic number.

1301123101200 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 1301123101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248592205888).

1301123101200 is an abundant number, since it is smaller than the sum of its proper divisors (3196061310576).

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

1301123101200 is a wasteful number, since it uses less digits than its factorization.

1301123101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160642 (or 160631 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1301123101200 its reverse (21013211031), we get a palindrome (1322136312231).

The spelling of 1301123101200 in words is "one trillion, three hundred one billion, one hundred twenty-three million, one hundred one thousand, two hundred".