Search a number
-
+
12998989080000 = 263354711192433
BaseRepresentation
bin1011110100101001000000…
…1000000110010111000000
31201000200122220021110202000
42331022100020012113000
53200433412201030000
643351353025024000
72511101032046640
oct275122010062700
951020586243660
1012998989080000
1141619274a8620
12155b35b185000
13733a513c69c1
1432d223a74520
15178200a4a000
hexbd2902065c0

12998989080000 has 3360 divisors, whose sum is σ = 62979714040320. Its totient is φ = 2553016320000.

The previous prime is 12998989079983. The next prime is 12998989080037. The reversal of 12998989080000 is 8098989921.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12998989080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30020759784 + ... + 30020760216.

It is an arithmetic number, because the mean of its divisors is an integer number (18743962512).

Almost surely, 212998989080000 is an apocalyptic number.

12998989080000 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 12998989080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489857020160).

12998989080000 is an abundant number, since it is smaller than the sum of its proper divisors (49980724960320).

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

12998989080000 is a wasteful number, since it uses less digits than its factorization.

12998989080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 12998989080000 in words is "twelve trillion, nine hundred ninety-eight billion, nine hundred eighty-nine million, eighty thousand".