Search a number
-
+
12021323132000 = 255371347968947
BaseRepresentation
bin1010111011101110111010…
…1100011110110001100000
31120120020010200022102221002
42232323232230132301200
53033424132210211000
641322304122451132
72350340410442060
oct256735654366140
946506120272832
1012021323132000
11391523a570546
121421990963aa8
136927b5241360
142d7b998c73a0
1515ca7edea8d5
hexaeeeeb1ec60

12021323132000 has 384 divisors, whose sum is σ = 36428901949440. Its totient is φ = 3796552857600.

The previous prime is 12021323131903. The next prime is 12021323132041. The reversal of 12021323132000 is 23132312021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174321527 + ... + 174390473.

It is an arithmetic number, because the mean of its divisors is an integer number (94866932160).

Almost surely, 212021323132000 is an apocalyptic number.

12021323132000 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 12021323132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214450974720).

12021323132000 is an abundant number, since it is smaller than the sum of its proper divisors (24407578817440).

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

12021323132000 is a wasteful number, since it uses less digits than its factorization.

12021323132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69471 (or 69453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12021323132000 its reverse (23132312021), we get a palindrome (12044455444021).

The spelling of 12021323132000 in words is "twelve trillion, twenty-one billion, three hundred twenty-three million, one hundred thirty-two thousand".