Search a number
-
+
120202222000122 = 23231375822058607
BaseRepresentation
bin11011010101001011000010…
…101111100101011111111010
3120202121012221112011000120200
4123111023002233211133322
5111223343122313000442
61103352045524103030
734214216054626503
oct3325130257453772
9522535845130520
10120202222000122
1135333526720a49
1211593bb4b34a76
13520c036bb1102
142197b662b7baa
15dd6b07be034c
hex6d52c2be57fa

120202222000122 has 48 divisors (see below), whose sum is σ = 276105307425792. Its totient is φ = 37726939766880.

The previous prime is 120202222000121. The next prime is 120202222000139. The reversal of 120202222000122 is 221000222202021.

120202222000122 is a `hidden beast` number, since 120 + 2 + 0 + 222 + 200 + 0 + 122 = 666.

120202222000122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202022220001222 (a number of 29 digits) contains 22 as substring.

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 = 120202222000095 and 120202222000104.

It is not an unprimeable number, because it can be changed into a prime (120202222000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2911008658 + ... + 2911049949.

It is an arithmetic number, because the mean of its divisors is an integer number (5752193904704).

Almost surely, 2120202222000122 is an apocalyptic number.

120202222000122 is an abundant number, since it is smaller than the sum of its proper divisors (155903085425670).

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

120202222000122 is a wasteful number, since it uses less digits than its factorization.

120202222000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822058683 (or 5822058680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120202222000122 its reverse (221000222202021), we get a palindrome (341202444202143).

The spelling of 120202222000122 in words is "one hundred twenty trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 20646 5822058607 11644117214 17466175821 34932351642 52398527463 104797054926 180483816817 215416168459 360967633634 430832336918 541451450451 646248505377 1082902900902 1292497010754 1624354351353 1938745516131 3248708702706 3877491032262 6677901222229 13355802444458 20033703666687 40067407333374 60101111000061 120202222000122