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12121112002021 = 114710122298313
BaseRepresentation
bin1011000001100010101010…
…0100110011110111100101
31120220202201010200021021221
42300120222210303313211
53042043014133031041
641440210104340341
72360502312026221
oct260305244636745
946822633607257
1012121112002021
113953597801560
12143919ba746b1
1369c02909a7c9
142dc9448a9781
1516047082d2d1
hexb062a933de5

12121112002021 has 24 divisors (see below), whose sum is σ = 13639408785792. Its totient is φ = 10677957552000.

The previous prime is 12121112002003. The next prime is 12121112002033. The reversal of 12121112002021 is 12020021112121.

12121112002021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121112002021 - 25 = 12121112001989 is a prime.

It is a super-3 number, since 3×121211120020213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121112001986 and 12121112002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121112002091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4124761 + ... + 6423073.

It is an arithmetic number, because the mean of its divisors is an integer number (568308699408).

Almost surely, 212121112002021 is an apocalyptic number.

12121112002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121112002021 is a deficient number, since it is larger than the sum of its proper divisors (1518296783771).

12121112002021 is a wasteful number, since it uses less digits than its factorization.

12121112002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298573 (or 2298472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121112002021 its reverse (12020021112121), we get a palindrome (24141133114142).

The spelling of 12121112002021 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, two thousand, twenty-one".

Divisors: 1 11 47 101 517 1111 4747 10201 52217 112211 479447 2298313 5273917 25281443 108020711 232129613 1188227821 2553425743 10910091811 23445090913 120011009921 257896000043 1101919272911 12121112002021