Search a number
-
+
12214233004200 = 2335220357055007
BaseRepresentation
bin1011000110111101100100…
…0001001111100010101000
31121020200001220021022112120
42301233121001033202220
53100104222122113300
641551050254511240
72400310036342413
oct261573101174250
947220056238476
1012214233004200
11398a033119797
121453249b05520
136a7a4968c426
1430325a0aab7a
15162ac0ba13a0
hexb1bd904f8a8

12214233004200 has 48 divisors (see below), whose sum is σ = 37864122314880. Its totient is φ = 3257128800960.

The previous prime is 12214233004189. The next prime is 12214233004229. The reversal of 12214233004200 is 240033241221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10178526904 + ... + 10178528103.

It is an arithmetic number, because the mean of its divisors is an integer number (788835881560).

Almost surely, 212214233004200 is an apocalyptic number.

12214233004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214233004200 is an abundant number, since it is smaller than the sum of its proper divisors (25649889310680).

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

12214233004200 is a wasteful number, since it uses less digits than its factorization.

12214233004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357055026 (or 20357055017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12214233004200 its reverse (240033241221), we get a palindrome (12454266245421).

The spelling of 12214233004200 in words is "twelve trillion, two hundred fourteen billion, two hundred thirty-three million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20357055007 40714110014 61071165021 81428220028 101785275035 122142330042 162856440056 203570550070 244284660084 305355825105 407141100140 488569320168 508926375175 610711650210 814282200280 1017852750350 1221423300420 1526779125525 2035705500700 2442846600840 3053558251050 4071411001400 6107116502100 12214233004200