Search a number
-
+
12132030212100 = 22335219832849299
BaseRepresentation
bin1011000010001011010101…
…0110011110100000000100
31120221210220001012210212000
42300202311112132200010
53042232344213241400
641445213331425300
72361340006212411
oct260426526364004
946853801183760
1012132030212100
11395818a856377
12143b328455230
136a0079089146
142dd29c969108
151608ae113600
hexb08b559e804

12132030212100 has 288 divisors, whose sum is σ = 41549632320000. Its totient is φ = 3028005970560.

The previous prime is 12132030212063. The next prime is 12132030212129. The reversal of 12132030212100 is 121203023121.

12132030212100 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 30 + 212 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2833251 + ... + 5682549.

Almost surely, 212132030212100 is an apocalyptic number.

12132030212100 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 12132030212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774816160000).

12132030212100 is an abundant number, since it is smaller than the sum of its proper divisors (29417602107900).

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

12132030212100 is a wasteful number, since it uses less digits than its factorization.

12132030212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849424 (or 2849411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132030212100 its reverse (121203023121), we get a palindrome (12253233235221).

The spelling of 12132030212100 in words is "twelve trillion, one hundred thirty-two billion, thirty million, two hundred twelve thousand, one hundred".