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120100121210022 = 231071291144904601
BaseRepresentation
bin11011010011101011111101…
…000011111110110010100110
3120202020110101221111111002020
4123103223331003332302212
5111220210022012210042
61103233122313524010
734203642651343512
oct3323537503766246
9522213357444066
10120100121210022
11352a41a2468188
121157825b713606
135202515098005
142192c3c243142
15dd412e3343ec
hex6d3afd0feca6

120100121210022 has 32 divisors (see below), whose sum is σ = 242632902536064. Its totient is φ = 39628510008000.

The previous prime is 120100121210009. The next prime is 120100121210033. The reversal of 120100121210022 is 220012121001021.

It is a super-2 number, since 2×1201001212100222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120100121209983 and 120100121210010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71623479 + ... + 73281122.

It is an arithmetic number, because the mean of its divisors is an integer number (7582278204252).

Almost surely, 2120100121210022 is an apocalyptic number.

120100121210022 is an abundant number, since it is smaller than the sum of its proper divisors (122532781326042).

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

120100121210022 is a wasteful number, since it uses less digits than its factorization.

120100121210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144906004.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120100121210022 its reverse (220012121001021), we get a palindrome (340112242211043).

The spelling of 120100121210022 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-one million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 107 214 321 642 1291 2582 3873 7746 138137 276274 414411 828822 144904601 289809202 434713803 869427606 15504792307 31009584614 46514376921 93028753842 187071839891 374143679782 561215519673 1122431039346 20016686868337 40033373736674 60050060605011 120100121210022