Search a number
-
+
132012123122000 = 2453113319115541
BaseRepresentation
bin11110000001000001110111…
…101101000110100101010000
3122022102020100211122112201102
4132001001313231012211100
5114300341312004401000
61144433310535323532
736543363322066532
oct3601016755064520
9568366324575642
10132012123122000
1139077032a54000
1212980a00b205a8
1358878c762c014
1424855c6b59852
15103de11a173d5
hex781077b46950

132012123122000 has 320 divisors, whose sum is σ = 351234490553856. Its totient is φ = 47986276800000.

The previous prime is 132012123121973. The next prime is 132012123122039. The reversal of 132012123122000 is 221321210231.

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, 8494434230 + ... + 8494449770.

Almost surely, 2132012123122000 is an apocalyptic number.

132012123122000 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 132012123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175617245276928).

132012123122000 is an abundant number, since it is smaller than the sum of its proper divisors (219222367431856).

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

132012123122000 is a wasteful number, since it uses less digits than its factorization.

132012123122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132012123122000 its reverse (221321210231), we get a palindrome (132233444332231).

The spelling of 132012123122000 in words is "one hundred thirty-two trillion, twelve billion, one hundred twenty-three million, one hundred twenty-two thousand".