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12211322200002 = 23223241212957487
BaseRepresentation
bin1011000110110010101110…
…0001011001111111000010
31121020101120001002010211200
42301230223201121333002
53100032241440400002
641545445354122030
72400144643042662
oct261545341317702
947211501063750
1012211322200002
11398887a040492
121452777120316
136a76a4607a93
143030616821a2
151629a037ab1c
hexb1b2b859fc2

12211322200002 has 96 divisors (see below), whose sum is σ = 27736267553280. Its totient is φ = 3875420989440.

The previous prime is 12211322199997. The next prime is 12211322200093. The reversal of 12211322200002 is 20000222311221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212390103 + ... + 212447589.

It is an arithmetic number, because the mean of its divisors is an integer number (288919453680).

Almost surely, 212211322200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211322200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868133776640).

12211322200002 is an abundant number, since it is smaller than the sum of its proper divisors (15524945353278).

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

12211322200002 is a wasteful number, since it uses less digits than its factorization.

12211322200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59888 (or 59885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12211322200002 its reverse (20000222311221), we get a palindrome (32211544511223).

The spelling of 12211322200002 in words is "twelve trillion, two hundred eleven billion, three hundred twenty-two million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 241 414 482 723 1446 2129 2169 4258 4338 5543 6387 11086 12774 16629 19161 33258 38322 48967 49887 57487 97934 99774 114974 146901 172461 293802 344922 440703 513089 517383 881406 1026178 1034766 1322201 1539267 2644402 3078534 3966603 4617801 7933206 9235602 11801047 11899809 13854367 23602094 23799618 27708734 35403141 41563101 70806282 83126202 106209423 122389823 124689303 212418846 244779646 249378606 318650441 367169469 637300882 734338938 955951323 1101508407 1911902646 2203016814 2814965929 2867853969 5629931858 5735707938 8444897787 16889795574 25334693361 29495947343 50669386722 58991894686 88487842029 176975684058 265463526087 530927052174 678406788889 1356813577778 2035220366667 4070440733334 6105661100001 12211322200002