Search a number
-
+
12197502720000 = 211335413171597
BaseRepresentation
bin1011000101111111001111…
…0100010001100000000000
31121012001212221021211011000
42301133303310101200000
53044320441144020000
641535242210452000
72366145326306553
oct261376364214000
947161787254130
1012197502720000
113982a2832a634
12144bb5ab94000
136a62b1522690
1430251015a69a
15162442005000
hexb17f3d11800

12197502720000 has 1920 divisors, whose sum is σ = 51516013348800. Its totient is φ = 2824077312000.

The previous prime is 12197502719977. The next prime is 12197502720023. The reversal of 12197502720000 is 2720579121.

12197502720000 is a `hidden beast` number, since 121 + 9 + 7 + 502 + 7 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12197502719977) and next prime (12197502720023).

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7637759202 + ... + 7637760798.

Almost surely, 212197502720000 is an apocalyptic number.

12197502720000 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 12197502720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758006674400).

12197502720000 is an abundant number, since it is smaller than the sum of its proper divisors (39318510628800).

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

12197502720000 is a wasteful number, since it uses less digits than its factorization.

12197502720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12197502720000 in words is "twelve trillion, one hundred ninety-seven billion, five hundred two million, seven hundred twenty thousand".