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20122202011120 = 2451127782549237
BaseRepresentation
bin1001001001101000100001…
…01100111111010111110000
32122020122220212002212112121
410210310100230333113300
510114140232203323440
6110444002331204024
74144531632000526
oct444642054772760
978218825085477
1020122202011120
1164588614a5760
12230b9988a6614
13b2c691754c61
144d7cc3c06316
1524d65830434a
hex124d10b3f5f0

20122202011120 has 80 divisors (see below), whose sum is σ = 51221471982048. Its totient is φ = 7290748523520.

The previous prime is 20122202011091. The next prime is 20122202011123. The reversal of 20122202011120 is 2111020222102.

It is a happy number.

20122202011120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 20122202011094 and 20122202011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122202011123) 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, 41030859 + ... + 41518378.

Almost surely, 220122202011120 is an apocalyptic number.

20122202011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122202011120 is an abundant number, since it is smaller than the sum of its proper divisors (31099269970928).

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

20122202011120 is a wasteful number, since it uses less digits than its factorization.

20122202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82549538 (or 82549532 counting only the distinct ones).

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

Adding to 20122202011120 its reverse (2111020222102), we get a palindrome (22233222233222).

The spelling of 20122202011120 in words is "twenty trillion, one hundred twenty-two billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 277 440 554 880 1108 1385 2216 2770 3047 4432 5540 6094 11080 12188 15235 22160 24376 30470 48752 60940 121880 243760 82549237 165098474 330196948 412746185 660393896 825492370 908041607 1320787792 1650984740 1816083214 3301969480 3632166428 4540208035 6603938960 7264332856 9080416070 14528665712 18160832140 22866138649 36321664280 45732277298 72643328560 91464554596 114330693245 182929109192 228661386490 251527525139 365858218384 457322772980 503055050278 914645545960 1006110100556 1257637625695 1829291091920 2012220201112 2515275251390 4024440402224 5030550502780 10061101005560 20122202011120