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212012002211220 = 223251318991179059
BaseRepresentation
bin110000001101001011100100…
…000101000111010110010100
31000210200011000221222122221100
4300031023210011013112110
5210242101040031224340
62030524545204350100
762441235025413501
oct6015134405072624
91023604027878840
10212012002211220
116160a87011a082
121b94141a6a5330
13913b8524088a3
143a4d6156384a8
151979dbaa1a830
hexc0d2e4147594

212012002211220 has 72 divisors (see below), whose sum is σ = 648012257212320. Its totient is φ = 56104957321920.

The previous prime is 212012002211203. The next prime is 212012002211239. The reversal of 212012002211220 is 22112200210212.

It is a happy number.

212012002211220 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 200 + 221 + 1 + 220 = 666.

It is a super-2 number, since 2×2120120022112202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212012002211193 and 212012002211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4495565950 + ... + 4495613109.

It is an arithmetic number, because the mean of its divisors is an integer number (9000170239060).

Almost surely, 2212012002211220 is an apocalyptic number.

212012002211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012002211220 is an abundant number, since it is smaller than the sum of its proper divisors (436000255001100).

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

212012002211220 is a wasteful number, since it uses less digits than its factorization.

212012002211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991179205 (or 8991179200 counting only the distinct ones).

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

Adding to 212012002211220 its reverse (22112200210212), we get a palindrome (234124202421432).

The spelling of 212012002211220 in words is "two hundred twelve trillion, twelve billion, two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 8991179059 17982358118 26973537177 35964716236 44955895295 53947074354 80920611531 89911790590 107894148708 134867685885 161841223062 179823581180 269735371770 323682446124 404603057655 539470743540 809206115310 1177844456729 1618412230620 2355688913458 3533533370187 4711377826916 5889222283645 7067066740374 10600600110561 11778444567290 14134133480748 17667666850935 21201200221122 23556889134580 35335333701870 42402400442244 53003000552805 70670667403740 106006001105610 212012002211220