Search a number
-
+
121022202112002 = 2344118220747081
BaseRepresentation
bin11011100001000110101101…
…010111011110100000000010
3120212111121110100101121110000
4123201012231113132200002
5111330311432220041002
61105220455423420430
734330364662603542
oct3341065527364002
9525447410347400
10121022202112002
113561a2560604a4
12116a6ab6754716
13526b463390b99
1421c5712029322
15ded0ea12061c
hex6e11ad5de802

121022202112002 has 40 divisors (see below), whose sum is σ = 277793510012172. Its totient is φ = 39356813692800.

The previous prime is 121022202111929. The next prime is 121022202112067. The reversal of 121022202112002 is 200211202220121.

It is a happy number.

121022202112002 is a `hidden beast` number, since 1 + 210 + 2 + 220 + 211 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120712433060241 + 309769051761 = 10986921^2 + 556569^2 .

It is a super-2 number, since 2×1210222021120022 (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9110366899 + ... + 9110380182.

Almost surely, 2121022202112002 is an apocalyptic number.

121022202112002 is an abundant number, since it is smaller than the sum of its proper divisors (156771307900170).

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

121022202112002 is a wasteful number, since it uses less digits than its factorization.

121022202112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18220747136 (or 18220747127 counting only the distinct ones).

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

Adding to 121022202112002 its reverse (200211202220121), we get a palindrome (321233404332123).

The spelling of 121022202112002 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 18220747081 36441494162 54662241243 109324482486 163986723729 327973447458 491960171187 747050630321 983920342374 1475880513561 1494101260642 2241151890963 2951761027122 4482303781926 6723455672889 13446911345778 20170367018667 40340734037334 60511101056001 121022202112002