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212525525212 = 2271113971733163
BaseRepresentation
bin1100010111101110000…
…0100010100011011100
3202022120021021021220121
43011323200202203130
511440223013301322
6241344411324324
721232403105140
oct3057340424334
9668507237817
10212525525212
118214a133730
12352324506a4
131706c305060
14a40181b220
1557dce00ec7
hex317b8228dc

212525525212 has 192 divisors, whose sum is σ = 507585383424. Its totient is φ = 75183759360.

The previous prime is 212525525123. The next prime is 212525525213.

212525525212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212525525213) 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, 67189543 + ... + 67192705.

It is an arithmetic number, because the mean of its divisors is an integer number (2643673872).

Almost surely, 2212525525212 is an apocalyptic number.

212525525212 is a gapful number since it is divisible by the number (22) 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 212525525212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253792691712).

212525525212 is an abundant number, since it is smaller than the sum of its proper divisors (295059858212).

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

212525525212 is a wasteful number, since it uses less digits than its factorization.

212525525212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3466 counting only the distinct ones).

The product of its digits is 40000, while the sum is 34.

It can be divided in two parts, 212525 and 525212, that added together give a palindrome (737737).

The spelling of 212525525212 in words is "two hundred twelve billion, five hundred twenty-five million, five hundred twenty-five thousand, two hundred twelve".