Search a number
-
+
121120210012122 = 23211374777964129
BaseRepresentation
bin11011100010100001111111…
…000101111100011111011010
3120212211222102200112210101200
4123202201333011330133122
5111333413142230341442
61105333504545055030
734340434500162636
oct3342417705743732
9525758380483350
10121120210012122
1135657879a55462
1211701aa9327476
1352777822610a9
1421ca36c689dc6
15e0093450834c
hex6e287f17c7da

121120210012122 has 48 divisors (see below), whose sum is σ = 264784927366440. Its totient is φ = 40010759663616.

The previous prime is 121120210012091. The next prime is 121120210012141. The reversal of 121120210012122 is 221210012021121.

121120210012122 is a `hidden beast` number, since 121 + 120 + 210 + 0 + 1 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113053650063561 + 8066559948561 = 10632669^2 + 2840169^2 .

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 = 121120210012095 and 121120210012104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11226154 + ... + 19190282.

Almost surely, 2121120210012122 is an apocalyptic number.

121120210012122 is an abundant number, since it is smaller than the sum of its proper divisors (143664717354318).

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

121120210012122 is a wasteful number, since it uses less digits than its factorization.

121120210012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971727 (or 7971724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120210012122 its reverse (221210012021121), we get a palindrome (342330222033243).

The spelling of 121120210012122 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred ten million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 7477 14954 22431 44862 67293 134586 844901 1689802 2534703 5069406 7604109 7964129 15208218 15928258 23892387 47784774 71677161 143354322 899946577 1799893154 2699839731 5399679462 8099519193 16199038386 59547792533 119095585066 178643377599 357286755198 535930132797 1071860265594 6728900556229 13457801112458 20186701668687 40373403337374 60560105006061 121120210012122