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121312212332130 = 23455961117135537
BaseRepresentation
bin11011100101010100110011…
…010100101010111001100010
3120220112100000122210020110000
4123211110303110222321202
5111400034402324112010
61110002021101120430
734360342466031441
oct3345246324527142
9526470018706400
10121312212332130
1135721247293276
1211733152559116
13528c900670131
1421d5784508d58
15e0592078e7c0
hex6e553352ae62

121312212332130 has 320 divisors, whose sum is σ = 337459306757760. Its totient is φ = 31252689561600.

The previous prime is 121312212332117. The next prime is 121312212332131. The reversal of 121312212332130 is 31233212213121.

121312212332130 is a `hidden beast` number, since 1 + 2 + 1 + 312 + 2 + 1 + 2 + 332 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121312212332094 and 121312212332103.

It is not an unprimeable number, because it can be changed into a prime (121312212332131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3413669722 + ... + 3413705258.

It is an arithmetic number, because the mean of its divisors is an integer number (1054560333618).

Almost surely, 2121312212332130 is an apocalyptic number.

121312212332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121312212332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168729653378880).

121312212332130 is an abundant number, since it is smaller than the sum of its proper divisors (216147094425630).

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

121312212332130 is a wasteful number, since it uses less digits than its factorization.

121312212332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36847 (or 36838 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121312212332130 its reverse (31233212213121), we get a palindrome (152545424545251).

The spelling of 121312212332130 in words is "one hundred twenty-one trillion, three hundred twelve billion, two hundred twelve million, three hundred thirty-two thousand, one hundred thirty".