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22112112001212 = 22376827370247
BaseRepresentation
bin1010000011100011000001…
…00101001100000010111100
32220021220020002211010000000
411001301200211030002330
510344241101133014322
6115010055232234300
74441355514560232
oct501614045140274
986256202733000
1022112112001212
11705576a843782
12259158569b990
13c4521777555c
145663365c2952
152852c05943ac
hex141c6094c0bc

22112112001212 has 96 divisors (see below), whose sum is σ = 58044104778240. Its totient is φ = 7369604455536.

The previous prime is 22112112001211. The next prime is 22112112001247. The reversal of 22112112001212 is 21210021121122.

22112112001212 is a `hidden beast` number, since 221 + 1 + 211 + 20 + 0 + 1 + 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 (22112112001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59537473 + ... + 59907719.

It is an arithmetic number, because the mean of its divisors is an integer number (604626091440).

Almost surely, 222112112001212 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 22112112001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29022052389120).

22112112001212 is an abundant number, since it is smaller than the sum of its proper divisors (35931992777028).

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

22112112001212 is an equidigital number, since it uses as much as digits as its factorization.

22112112001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377099 (or 377079 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112112001212 its reverse (21210021121122), we get a palindrome (43322133122334).

The spelling of 22112112001212 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6827 8748 13654 20481 27308 40962 61443 81924 122886 184329 245772 368658 370247 552987 737316 740494 1105974 1110741 1480988 1658961 2211948 2221482 3317922 3332223 4442964 4976883 6635844 6664446 9953766 9996669 13328892 14930649 19907532 19993338 29861298 29990007 39986676 59722596 59980014 89970021 119960028 179940042 269910063 359880084 539820126 809730189 1079640252 1619460378 2527676269 3238920756 5055352538 7583028807 10110705076 15166057614 22749086421 30332115228 45498172842 68247259263 90996345684 136494518526 204741777789 272989037052 409483555578 614225333367 818967111156 1228450666734 1842676000101 2456901333468 3685352000202 5528028000303 7370704000404 11056056000606 22112112001212