Search a number
-
+
122111201200110 = 23522481181058377
BaseRepresentation
bin11011110000111100111010…
…110001010100011111101110
3121000100201100120022011001120
4123300330322301110133232
5112001132220001400420
61111413040021321410
734502146254246633
oct3360747261243756
9530321316264046
10122111201200110
11359aa084710571
1211841b76266266
13531a062cb2725
1422222dc46618a
15e1b5d4e01d40
hex6f0f3ac547ee

122111201200110 has 32 divisors (see below), whose sum is σ = 293079920702112. Its totient is φ = 32561538339840.

The previous prime is 122111201200097. The next prime is 122111201200133. The reversal of 122111201200110 is 11002102111221.

It is a happy number.

It is a super-3 number, since 3×1221112012001103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111201200110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89854759 + ... + 91203618.

It is an arithmetic number, because the mean of its divisors is an integer number (9158747521941).

Almost surely, 2122111201200110 is an apocalyptic number.

122111201200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122111201200110 is an abundant number, since it is smaller than the sum of its proper divisors (170968719502002).

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

122111201200110 is a wasteful number, since it uses less digits than its factorization.

122111201200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181080868.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111201200110 its reverse (11002102111221), we get a palindrome (133113303311331).

The spelling of 122111201200110 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 22481 44962 67443 112405 134886 224810 337215 674430 181058377 362116754 543175131 905291885 1086350262 1810583770 2715875655 5431751310 4070373373337 8140746746674 12211120120011 20351866866685 24422240240022 40703733733370 61055600600055 122111201200110