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122012211100 = 225213149629903
BaseRepresentation
bin111000110100001111…
…1101001011110011100
3102122221020111112012111
41301220133221132130
53444340111223400
6132015053043404
711546401453033
oct1615037513634
9378836445174
10122012211100
11478217920aa
121b791786564
13b676048820
145c9669d71a
15329197b3ba
hex1c687e979c

122012211100 has 72 divisors (see below), whose sum is σ = 287047252800. Its totient is φ = 44748238080.

The previous prime is 122012211071. The next prime is 122012211119. The reversal of 122012211100 is 1112210221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121252 + ... + 508651.

It is an arithmetic number, because the mean of its divisors is an integer number (3986767400).

Almost surely, 2122012211100 is an apocalyptic number.

122012211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012211100 is an abundant number, since it is smaller than the sum of its proper divisors (165035041700).

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

122012211100 is a wasteful number, since it uses less digits than its factorization.

122012211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630079 (or 630072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122012211100 its reverse (1112210221), we get a palindrome (123124421321).

The spelling of 122012211100 in words is "one hundred twenty-two billion, twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 149 260 298 325 596 650 745 1300 1490 1937 2980 3725 3874 7450 7748 9685 14900 19370 38740 48425 96850 193700 629903 1259806 2519612 3149515 6299030 8188739 12598060 15747575 16377478 31495150 32754956 40943695 62990300 81887390 93855547 163774780 187711094 204718475 375422188 409436950 469277735 818873900 938555470 1220122111 1877110940 2346388675 2440244222 4692777350 4880488444 6100610555 9385554700 12201221110 24402442220 30503052775 61006105550 122012211100