Search a number
-
+
12321098914680 = 2335510329174219
BaseRepresentation
bin1011001101001011101010…
…1110010101101101111000
31121121212220120100001100000
42303102322232111231320
53103332102310232210
642112122410113000
72411112213524553
oct263227256255570
947555816301300
1012321098914680
113a20392143a76
12146bab311b760
136b4b4a786a9a
143084b6d4169a
15165777a69ac0
hexb34bab95b78

12321098914680 has 384 divisors, whose sum is σ = 41954154278400. Its totient is φ = 3251840712192.

The previous prime is 12321098914673. The next prime is 12321098914697. The reversal of 12321098914680 is 8641989012321.

It is a happy number.

12321098914680 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 0 + 98 + 91 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2920381611 + ... + 2920385829.

It is an arithmetic number, because the mean of its divisors is an integer number (109255610100).

Almost surely, 212321098914680 is an apocalyptic number.

12321098914680 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 12321098914680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977077139200).

12321098914680 is an abundant number, since it is smaller than the sum of its proper divisors (29633055363720).

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

12321098914680 is a wasteful number, since it uses less digits than its factorization.

12321098914680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12321098914680 in words is "twelve trillion, three hundred twenty-one billion, ninety-eight million, nine hundred fourteen thousand, six hundred eighty".