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122011222172 = 227171079832437
BaseRepresentation
bin111000110100001101…
…1111000000010011100
3102122221011122021122112
41301220123320002130
53444334333102142
6132015015533152
711546360163620
oct1615033700234
9378834567575
10122011222172
1147821177104
121b79138a1b8
13b675a90668
145c964c3180
153291833382
hex1c686f809c

122011222172 has 96 divisors (see below), whose sum is σ = 261163865088. Its totient is φ = 48685077504.

The previous prime is 122011222171. The next prime is 122011222243. The reversal of 122011222172 is 271222110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011222171) 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, 50064938 + ... + 50067374.

It is an arithmetic number, because the mean of its divisors is an integer number (2720456928).

Almost surely, 2122011222172 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 122011222172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130581932544).

122011222172 is an abundant number, since it is smaller than the sum of its proper divisors (139152642916).

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

122011222172 is a wasteful number, since it uses less digits than its factorization.

122011222172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 122011222172 its reverse (271222110221), we get a palindrome (393233332393).

The spelling of 122011222172 in words is "one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 107 119 214 238 428 476 749 983 1498 1819 1966 2437 2996 3638 3932 4874 6881 7276 9748 12733 13762 16711 17059 25466 27524 33422 34118 41429 50932 66844 68236 82858 105181 116977 165716 210362 233954 260759 290003 420724 467908 521518 580006 736267 1043036 1160012 1472534 1788077 1825313 2395571 2945068 3576154 3650626 4432903 4791142 7152308 7301252 8865806 9582284 12516539 16768997 17731612 25033078 31030321 33537994 40724707 50066156 62060642 67075988 81449414 124121284 162898828 256326097 285072949 512652194 570145898 1025304388 1140291796 1794282679 3588565358 4357543649 7177130716 8715087298 17430174596 30502805543 61005611086 122011222172