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2122212001122 = 23417770592593
BaseRepresentation
bin11110111000011101101…
…100010100010101100010
321111212210121021202120000
4132320131230110111202
5234232242233013442
64302533012200430
7306216251242233
oct36703554242542
97455717252500
102122212001122
11749030392104
122a3370609116
1312517bac2735
1474a038b908a
153a30c270d4c
hex1ee1db14562

2122212001122 has 40 divisors (see below), whose sum is σ = 5035052009196. Its totient is φ = 665791999488.

The previous prime is 2122212001109. The next prime is 2122212001127. The reversal of 2122212001122 is 2211002122212.

It is a happy number.

2122212001122 is a `hidden beast` number, since 212 + 221 + 200 + 11 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2082396188601 + 39815812521 = 1443051^2 + 199539^2 .

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 = 2122212001095 and 2122212001104.

It is not an unprimeable number, because it can be changed into a prime (2122212001127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385293543 + ... + 385299050.

Almost surely, 22122212001122 is an apocalyptic number.

2122212001122 is an abundant number, since it is smaller than the sum of its proper divisors (2912840008074).

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

2122212001122 is a wasteful number, since it uses less digits than its factorization.

2122212001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770592624 (or 770592615 counting only the distinct ones).

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

Adding to 2122212001122 its reverse (2211002122212), we get a palindrome (4333214123334).

The spelling of 2122212001122 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 770592593 1541185186 2311777779 4623555558 6935333337 13100074081 13870666674 20806000011 26200148162 39300222243 41612000022 62418000033 78600444486 117900666729 124836000066 235801333458 353702000187 707404000374 1061106000561 2122212001122