Search a number
-
+
132012001212 = 2237131731229393
BaseRepresentation
bin111101011110010000…
…1110100011110111100
3110121202010212111102020
41322330201310132330
54130330033014322
6140351231200140
712352244332050
oct1727441643674
9417663774366
10132012001212
1150a93373453
1221702676050
13c5aa9915b0
1465647a9c60
1536797e705c
hex1ebc8747bc

132012001212 has 192 divisors, whose sum is σ = 414362640384. Its totient is φ = 31711150080.

The previous prime is 132012001211. The next prime is 132012001241. The reversal of 132012001212 is 212100210231.

It is a junction number, because it is equal to n+sod(n) for n = 132012001191 and 132012001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012001211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460788 + ... + 690180.

It is an arithmetic number, because the mean of its divisors is an integer number (2158138752).

Almost surely, 2132012001212 is an apocalyptic number.

132012001212 is a gapful number since it is divisible by the number (12) 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 132012001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207181320192).

132012001212 is an abundant number, since it is smaller than the sum of its proper divisors (282350639172).

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

132012001212 is a wasteful number, since it uses less digits than its factorization.

132012001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229468 (or 229466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132012001212 its reverse (212100210231), we get a palindrome (344112211443).

The spelling of 132012001212 in words is "one hundred thirty-two billion, twelve million, one thousand, two hundred twelve".