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22212122121222 = 23111933375174387
BaseRepresentation
bin1010000110011101010011…
…01001100001010000000110
32220122110100222111121021220
411003032221221201100012
510402410411230334342
6115124035200221210
74451526043555155
oct503165151412006
986573328447256
1022212122121222
117094120961120
1225a8a3690a806
13c517953b9367
1456b102b1959c
15287bc562c5ec
hex1433a9a61406

22212122121222 has 64 divisors (see below), whose sum is σ = 48858475670784. Its totient is φ = 6676199792640.

The previous prime is 22212122121221. The next prime is 22212122121223.

It is a happy number.

22212122121222 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22212122121221) and next prime (22212122121223).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22212122121192 and 22212122121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212122121221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705513 + ... + 6879899.

It is an arithmetic number, because the mean of its divisors is an integer number (763413682356).

Almost surely, 222212122121222 is an apocalyptic number.

22212122121222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22212122121222 is an abundant number, since it is smaller than the sum of its proper divisors (26646353549562).

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

22212122121222 is a wasteful number, since it uses less digits than its factorization.

22212122121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174933.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 2221212 and 2121222, that added together give a palindrome (4342434).

The spelling of 22212122121222 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 193 337 386 579 674 1011 1158 2022 2123 3707 4246 6369 7414 11121 12738 22242 65041 130082 195123 390246 715451 1430902 2146353 4292706 5174387 10348774 15523161 31046322 56918257 113836514 170754771 341509542 998656691 1743768419 1997313382 2995970073 3487536838 5231305257 5991940146 10462610514 10985223601 19181452609 21970447202 32955670803 38362905218 57544357827 65911341606 115088715654 336547304867 673094609734 1009641914601 2019283829202 3702020353537 7404040707074 11106061060611 22212122121222