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122221020120 = 23353472935183
BaseRepresentation
bin111000111010011110…
…0001100001111011000
3102200110210102010022220
41301310330030033120
54000302040120440
6132051512344040
711554515346503
oct1616474141730
9380423363286
10122221020120
1147919641441
121b82b6a5020
13b6aa398564
145cb62d613a
1532a4e758d0
hex1c74f0c3d8

122221020120 has 64 divisors (see below), whose sum is σ = 367719851520. Its totient is φ = 32498335104.

The previous prime is 122221020109. The next prime is 122221020127. The reversal of 122221020120 is 21020122221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122221020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425952 + ... + 1509231.

It is an arithmetic number, because the mean of its divisors is an integer number (5745622680).

Almost surely, 2122221020120 is an apocalyptic number.

122221020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221020120 is an abundant number, since it is smaller than the sum of its proper divisors (245498831400).

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

122221020120 is a wasteful number, since it uses less digits than its factorization.

122221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935544 (or 2935540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122221020120 its reverse (21020122221), we get a palindrome (143241142341).

The spelling of 122221020120 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 20820 41640 2935183 5870366 8805549 11740732 14675915 17611098 23481464 29351830 35222196 44027745 58703660 70444392 88055490 117407320 176110980 352221960 1018508501 2037017002 3055525503 4074034004 5092542505 6111051006 8148068008 10185085010 12222102012 15277627515 20370170020 24444204024 30555255030 40740340040 61110510060 122221020120