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1012120120 = 2351119121067
BaseRepresentation
bin111100010100111…
…011101000111000
32121112111000210101
4330110323220320
54033100320440
6244233125144
734036610344
oct7424735070
92545430711
101012120120
1147a351910
12242b597b4
131318c1a5b
14985c4624
155dcc769a
hex3c53ba38

1012120120 has 64 divisors (see below), whose sum is σ = 2615068800. Its totient is φ = 348670080.

The previous prime is 1012120103. The next prime is 1012120121. The reversal of 1012120120 is 210212101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1012120097 and 1012120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52174 + ... + 68893.

It is an arithmetic number, because the mean of its divisors is an integer number (40860450).

Almost surely, 21012120120 is an apocalyptic number.

1012120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012120120 is an abundant number, since it is smaller than the sum of its proper divisors (1602948680).

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

1012120120 is a wasteful number, since it uses less digits than its factorization.

1012120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121108 (or 121104 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1012120120 is about 31813.8353550778. The cubic root of 1012120120 is about 1004.0238270986.

Adding to 1012120120 its reverse (210212101), we get a palindrome (1222332221).

The spelling of 1012120120 in words is "one billion, twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 121067 242134 484268 605335 968536 1210670 1331737 2300273 2421340 2663474 4600546 4842680 5326948 6658685 9201092 10653896 11501365 13317370 18402184 23002730 25303003 26634740 46005460 50606006 53269480 92010920 101212012 126515015 202424024 253030030 506060060 1012120120