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122221110011104 = 25131372398972933
BaseRepresentation
bin11011110010100011010001…
…110110001010010011100000
3121000202020001022010020122001
4123302203101312022103200
5112004432313130323404
61111535334112453344
734513120020603136
oct3362432166122340
9530666038106561
10122221110011104
1135a41755337a65
121185b32a54a254
13532752a632430
1422277674ad756
15e1e3b8ed57a4
hex6f28d1d8a4e0

122221110011104 has 96 divisors (see below), whose sum is σ = 262115912338560. Its totient is φ = 55763685691392.

The previous prime is 122221110011083. The next prime is 122221110011111. The reversal of 122221110011104 is 401110011122221.

It is a super-2 number, since 2×1222211100111042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9134622 + ... + 18107554.

It is an arithmetic number, because the mean of its divisors is an integer number (2730374086860).

Almost surely, 2122221110011104 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 122221110011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131057956169280).

122221110011104 is an abundant number, since it is smaller than the sum of its proper divisors (139894802327456).

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

122221110011104 is a wasteful number, since it uses less digits than its factorization.

122221110011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973332 (or 8973324 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122221110011104 its reverse (401110011122221), we get a palindrome (523331121133325).

The spelling of 122221110011104 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 239 274 416 478 548 956 1096 1781 1912 2192 3107 3562 3824 4384 6214 7124 7648 12428 14248 24856 28496 32743 49712 56992 65486 99424 130972 261944 425659 523888 851318 1047776 1702636 3405272 6810544 8972933 13621088 17945866 35891732 71783464 116648129 143566928 233296258 287133856 466592516 933185032 1229291821 1866370064 2144530987 2458583642 3732740128 4289061974 4917167284 8578123948 9834334568 15980793673 17156247896 19668669136 27878902831 31961587346 34312495792 39337338272 55757805662 63923174692 68624991584 111515611324 127846349384 223031222648 255692698768 293800745219 446062445296 511385397536 587601490438 892124890592 1175202980876 2350405961752 3819409687847 4700811923504 7638819375694 9401623847008 15277638751388 30555277502776 61110555005552 122221110011104