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122012120100 = 223521331285159
BaseRepresentation
bin111000110100001111…
…1010011010000100100
3102122221020022220101010
41301220133103100210
53444340100320400
6132015051102220
711546400623523
oct1615037232044
9378836286333
10122012120100
114782172a7a2
121b791741970
13b676016290
145c966784ba
15329195e450
hex1c687d3424

122012120100 has 72 divisors (see below), whose sum is σ = 380177264320. Its totient is φ = 30033751680.

The previous prime is 122012120057. The next prime is 122012120117. The reversal of 122012120100 is 1021210221.

122012120100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15638680 + ... + 15646479.

Almost surely, 2122012120100 is an apocalyptic number.

122012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012120100 is an abundant number, since it is smaller than the sum of its proper divisors (258165144220).

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

122012120100 is a wasteful number, since it uses less digits than its factorization.

122012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285189 (or 31285182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122012120100 its reverse (1021210221), we get a palindrome (123033330321).

The spelling of 122012120100 in words is "one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 31285159 62570318 93855477 125140636 156425795 187710954 312851590 375421908 406707067 469277385 625703180 782128975 813414134 938554770 1220121201 1564257950 1626828268 1877109540 2033535335 2346386925 2440242402 3128515900 4067070670 4692773850 4880484804 6100606005 8134141340 9385547700 10167676675 12201212010 20335353350 24402424020 30503030025 40670706700 61006060050 122012120100