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11220122200012 = 221117101307483767
BaseRepresentation
bin1010001101000110001101…
…1001011110011111001100
31110201122002121102000221221
42203101203121132133030
52432312302240400022
635510241502133124
72235425042050435
oct243214331363714
943648077360857
1011220122200012
113636477523880
1213126502811a4
1363508c53524b
142ab0b1c6c48c
15146cdb486cc7
hexa346365e7cc

11220122200012 has 96 divisors (see below), whose sum is σ = 22979459897856. Its totient is φ = 4737036672000.

The previous prime is 11220122200003. The next prime is 11220122200013. The reversal of 11220122200012 is 21000222102211.

It is a happy number.

It is a super-2 number, since 2×112201222000122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220122200013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22951353 + ... + 23435119.

It is an arithmetic number, because the mean of its divisors is an integer number (239369373936).

Almost surely, 211220122200012 is an apocalyptic number.

It is an amenable number.

11220122200012 is an abundant number, since it is smaller than the sum of its proper divisors (11759337697844).

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

11220122200012 is a wasteful number, since it uses less digits than its factorization.

11220122200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484207 (or 484205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220122200012 its reverse (21000222102211), we get a palindrome (32220344302223).

The spelling of 11220122200012 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 307 374 404 614 748 1111 1228 1717 2222 3377 3434 4444 5219 6754 6868 10438 13508 18887 20876 31007 37774 57409 62014 75548 114818 124028 229636 341077 483767 527119 682154 967534 1054238 1364308 1935068 2108476 5321437 5798309 8224039 10642874 11596618 16448078 21285748 23193236 32896156 48860467 90464429 97720934 148516469 180928858 195441868 297032938 361857716 537465137 594065876 830627939 1074930274 1633681159 1661255878 2149860548 2524779973 3267362318 3322511756 5049559946 6534724636 9136907329 10099119892 15000163369 18273814658 27772579703 30000326738 36547629316 55545159406 60000653476 111090318812 165001797059 255002777273 330003594118 510005554546 660007188236 1020011109092 2805030550003 5610061100006 11220122200012