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120112212121002 = 23317396191336649
BaseRepresentation
bin11011010011110111001101…
…101111001001010110101010
3120202021121121120200101212000
4123103313031233021112222
5111220404302300333002
61103242442152031430
734204551405366033
oct3323671557112652
9522247546611760
10120112212121002
11352a93374725a2
121157a674992576
1352036c10102ca
142193667d67a8a
15dd45daa6161c
hex6d3dcdbc95aa

120112212121002 has 64 divisors (see below), whose sum is σ = 268487004240000. Its totient is φ = 39801805916544.

The previous prime is 120112212120997. The next prime is 120112212121003. The reversal of 120112212121002 is 200121212211021.

120112212121002 is a `hidden beast` number, since 120 + 11 + 221 + 212 + 100 + 2 = 666.

120112212121002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (120112212121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89192374 + ... + 90529022.

It is an arithmetic number, because the mean of its divisors is an integer number (4195109441250).

Almost surely, 2120112212121002 is an apocalyptic number.

120112212121002 is an abundant number, since it is smaller than the sum of its proper divisors (148374792118998).

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

120112212121002 is a wasteful number, since it uses less digits than its factorization.

120112212121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346452 (or 1346446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112212121002 its reverse (200121212211021), we get a palindrome (320233424332023).

The spelling of 120112212121002 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 173 346 519 1038 1557 3114 4671 9342 9619 19238 28857 57714 86571 173142 259713 519426 1336649 1664087 2673298 3328174 4009947 4992261 8019894 9984522 12029841 14976783 24059682 29953566 36089523 44930349 72179046 89860698 231240277 462480554 693720831 1387441662 2081162493 4162324986 6243487479 12486974958 12857226731 25714453462 38571680193 77143360386 115715040579 231430081158 347145121737 694290243474 2224300224463 4448600448926 6672900673389 13345801346778 20018702020167 40037404040334 60056106060501 120112212121002