1217972160000 has 800 divisors, whose sum is σ = 4661469727200. Its totient is φ = 313528320000.

The previous prime is 1217972159993. The next prime is 1217972160049. The reversal of 1217972160000 is 612797121.

It is a happy number.

1217972160000 is a `hidden beast` number, since 1 + 21 + 7 + 9 + 7 + 21 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250557570 + ... + 250562430.

It is an arithmetic number, because the mean of its divisors is an integer number (5826837159).

Almost surely, 2^{1217972160000} is an apocalyptic number.

1217972160000 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 1217972160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330734863600).

1217972160000 is an abundant number, since it is smaller than the sum of its proper divisors (3443497567200).

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

1217972160000 is an frugal number, since it uses more digits than its factorization.

1217972160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1217972160000 in words is "one trillion, two hundred seventeen billion, nine hundred seventy-two million, one hundred sixty thousand".