Search a number
-
+
120020220022122 = 2327952541428747
BaseRepresentation
bin11011010010100001100010…
…100101001000110101101010
3120201221211011111022120210200
4123102201202211020311222
5111212402402311201442
61103132310010053030
734165113636426030
oct3322414245106552
9521854144276720
10120020220022122
11352733203110a2
1211564880a1a176
1351c7b2057c0c4
14218d01c66a550
15dd200488334c
hex6d2862948d6a

120020220022122 has 24 divisors (see below), whose sum is σ = 297192925769376. Its totient is φ = 34291491434856.

The previous prime is 120020220022093. The next prime is 120020220022151. The reversal of 120020220022122 is 221220022020021.

120020220022122 is a `hidden beast` number, since 1 + 20 + 0 + 202 + 200 + 221 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (120020220022093) and next prime (120020220022151).

It is a super-2 number, since 2×1200202200221222 (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 = 120020220022095 and 120020220022104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476270714248 + ... + 476270714499.

It is an arithmetic number, because the mean of its divisors is an integer number (12383038573724).

Almost surely, 2120020220022122 is an apocalyptic number.

120020220022122 is an abundant number, since it is smaller than the sum of its proper divisors (177172705747254).

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

120020220022122 is a wasteful number, since it uses less digits than its factorization.

120020220022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952541428762 (or 952541428759 counting only the distinct ones).

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

Adding to 120020220022122 its reverse (221220022020021), we get a palindrome (341240242042143).

The spelling of 120020220022122 in words is "one hundred twenty trillion, twenty billion, two hundred twenty million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 952541428747 1905082857494 2857624286241 5715248572482 6667790001229 8572872858723 13335580002458 17145745717446 20003370003687 40006740007374 60010110011061 120020220022122