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20120221120212 = 22321732876178301
BaseRepresentation
bin1001001001100100110101…
…01000011111011011010100
32122020110210210201012001200
410210302122220133123110
510114122203101321322
6110443034005552500
74144431556464423
oct444623250373324
978213723635050
1020120221120212
116457a35320034
12230b525415730
13b2c43723b665
144d7b76ac32ba
1524d58e4688ac
hex124c9aa1f6d4

20120221120212 has 36 divisors (see below), whose sum is σ = 53851180058676. Its totient is φ = 6312226233600.

The previous prime is 20120221120211. The next prime is 20120221120231. The reversal of 20120221120212 is 21202112202102.

It is a happy number.

20120221120212 is a `hidden beast` number, since 20 + 1 + 202 + 211 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5566560734736 + 14553660385476 = 2359356^2 + 3814926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120221120211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16438088539 + ... + 16438089762.

It is an arithmetic number, because the mean of its divisors is an integer number (1495866112741).

Almost surely, 220120221120212 is an apocalyptic number.

It is an amenable number.

20120221120212 is an abundant number, since it is smaller than the sum of its proper divisors (33730958938464).

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

20120221120212 is a wasteful number, since it uses less digits than its factorization.

20120221120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32876178328 (or 32876178323 counting only the distinct ones).

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

Adding to 20120221120212 its reverse (21202112202102), we get a palindrome (41322333322314).

The spelling of 20120221120212 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 32876178301 65752356602 98628534903 131504713204 197257069806 295885604709 394514139612 558895031117 591771209418 1117790062234 1183542418836 1676685093351 2235580124468 3353370186702 5030055280053 6706740373404 10060110560106 20120221120212