Search a number
-
+
22120011220212 = 22327911536745691
BaseRepresentation
bin1010000011110001101110…
…11010010100010011110100
32220022122121121121000100200
411001320313122110103310
510344403240333021322
6115013443132040500
74442055333043233
oct501706732242364
986278547530320
1022120011220212
117059053736944
12259300b003130
13c45ba6160539
14566885734b1a
152855d3cd38ac
hex141e376944f4

22120011220212 has 72 divisors (see below), whose sum is σ = 56671367975040. Its totient is φ = 7273688647680.

The previous prime is 22120011220129. The next prime is 22120011220213. The reversal of 22120011220212 is 21202211002122.

It is a happy number.

22120011220212 is a `hidden beast` number, since 2 + 21 + 200 + 11 + 220 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120011220213) 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, 93714 + ... + 6651977.

Almost surely, 222120011220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120011220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335683987520).

22120011220212 is an abundant number, since it is smaller than the sum of its proper divisors (34551356754828).

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

22120011220212 is a wasteful number, since it uses less digits than its factorization.

22120011220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746933 (or 6746928 counting only the distinct ones).

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

Adding to 22120011220212 its reverse (21202211002122), we get a palindrome (43322222222334).

The spelling of 22120011220212 in words is "twenty-two trillion, one hundred twenty billion, eleven million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1153 1422 2306 2844 3459 4612 6918 10377 13836 20754 41508 91087 182174 273261 364348 546522 819783 1093044 1639566 3279132 6745691 13491382 20237073 26982764 40474146 60711219 80948292 121422438 242844876 532909589 1065819178 1598728767 2131638356 3197457534 4796186301 6394915068 7777781723 9592372602 15555563446 19184745204 23333345169 31111126892 46666690338 70000035507 93333380676 140000071014 280000142028 614444756117 1228889512234 1843334268351 2457779024468 3686668536702 5530002805053 7373337073404 11060005610106 22120011220212