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1012222021120 = 295675901481
BaseRepresentation
bin11101011101011010010…
…00100100111000000000
310120202201111022102112221
432232231020210320000
5113041012314133440
62053001450500424
7133062543134452
oct16565510447000
93522644272487
101012222021120
1136030aa402a2
12144213134714
13745b54279bb
1436dc573a2d2
151b4e4740d4a
hexebad224e00

1012222021120 has 80 divisors (see below), whose sum is σ = 2463184163088. Its totient is φ = 398845624320.

The previous prime is 1012222021099. The next prime is 1012222021121. The reversal of 1012222021120 is 211202222101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1012222021094 and 1012222021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012222021121) 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 7 ways as a sum of consecutive naturals, for example, 2779221 + ... + 3122260.

Almost surely, 21012222021120 is an apocalyptic number.

1012222021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012222021120 is an abundant number, since it is smaller than the sum of its proper divisors (1450962141968).

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

1012222021120 is an frugal number, since it uses more digits than its factorization.

1012222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901571 (or 5901555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012222021120 its reverse (211202222101), we get a palindrome (1223424243221).

The spelling of 1012222021120 in words is "one trillion, twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 1072 1280 1340 2144 2560 2680 4288 5360 8576 10720 17152 21440 34304 42880 85760 171520 5901481 11802962 23605924 29507405 47211848 59014810 94423696 118029620 188847392 236059240 377694784 395399227 472118480 755389568 790798454 944236960 1510779136 1581596908 1888473920 1976996135 3021558272 3163193816 3776947840 3953992270 6326387632 7553895680 7907984540 12652775264 15107791360 15815969080 25305550528 31631938160 50611101056 63263876320 101222202112 126527752640 202444404224 253055505280 506111010560 1012222021120