Search a number
-
+
20120212212102 = 23237419710175211
BaseRepresentation
bin1001001001100100110100…
…00110100000100110000110
32122020110210011221121102200
410210302122012200212012
510114122143311241402
6110443033051015330
74144431420663312
oct444623206404606
978213704847380
1020120212212102
116457a30296262
12230b52243a546
13b2c43543caa2
144d7b75844b42
1524d58d7a921c
hex124c9a1a0986

20120212212102 has 192 divisors, whose sum is σ = 46796231297088. Its totient is φ = 6238218240000.

The previous prime is 20120212212043. The next prime is 20120212212181. The reversal of 20120212212102 is 20121221202102.

It is a happy number.

20120212212102 is a `hidden beast` number, since 20 + 120 + 212 + 212 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267479277 + ... + 267554487.

It is an arithmetic number, because the mean of its divisors is an integer number (243730371339).

Almost surely, 220120212212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120212212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398115648544).

20120212212102 is an abundant number, since it is smaller than the sum of its proper divisors (26676019084986).

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

20120212212102 is a wasteful number, since it uses less digits than its factorization.

20120212212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75495 (or 75492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20120212212102 its reverse (20121221202102), we get a palindrome (40241433414204).

The spelling of 20120212212102 in words is "twenty trillion, one hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred two".