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120221012020212 = 223229757152119189
BaseRepresentation
bin11011010101011100100010…
…101101110100101111110100
3120202200000110000212221102200
4123111130202231310233310
5111224200113034121322
61103404434231304500
734215452515311255
oct3325344255645764
9522600400787380
10120221012020212
1135340499148174
121159777981b130
135210a3c9abbac
142198a299d2b2c
15dd73575ed8ac
hex6d5722b74bf4

120221012020212 has 72 divisors (see below), whose sum is σ = 314786324634600. Its totient is φ = 38640707659008.

The previous prime is 120221012020201. The next prime is 120221012020253. The reversal of 120221012020212 is 212020210122021.

It is a happy number.

120221012020212 is a `hidden beast` number, since 1 + 202 + 210 + 1 + 20 + 20 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42054654321936 + 78166357698276 = 6484956^2 + 8841174^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75269287 + ... + 76849902.

Almost surely, 2120221012020212 is an apocalyptic number.

120221012020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221012020212 is an abundant number, since it is smaller than the sum of its proper divisors (194565312614388).

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

120221012020212 is a wasteful number, since it uses less digits than its factorization.

120221012020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152119985 (or 152119980 counting only the distinct ones).

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

Adding to 120221012020212 its reverse (212020210122021), we get a palindrome (332241222142233).

The spelling of 120221012020212 in words is "one hundred twenty trillion, two hundred twenty-one billion, twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 757 1044 1514 2271 3028 4542 6813 9084 13626 21953 27252 43906 65859 87812 131718 197577 263436 395154 790308 152119189 304238378 456357567 608476756 912715134 1369072701 1825430268 2738145402 4411456481 5476290804 8822912962 13234369443 17645825924 26468738886 39703108329 52937477772 79406216658 115154226073 158812433316 230308452146 345462678219 460616904292 690925356438 1036388034657 1381850712876 2072776069314 3339472556117 4145552138628 6678945112234 10018417668351 13357890224468 20036835336702 30055253005053 40073670673404 60110506010106 120221012020212