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1221124305401 = 711132942065669
BaseRepresentation
bin10001110001010000101…
…011100011000111111001
311022201221020211000021222
4101301100223203013321
5130001330310233101
62332550551441425
7154136412223160
oct21612053430771
94281836730258
101221124305401
1143096a921430
121787b4086275
138b1c7ba32c0
1443161c783d7
1521b6e4de01b
hex11c50ae31f9

1221124305401 has 32 divisors (see below), whose sum is σ = 1696087814400. Its totient is φ = 848043866880.

The previous prime is 1221124305361. The next prime is 1221124305419. The reversal of 1221124305401 is 1045034211221.

It is a happy number.

It is not a de Polignac number, because 1221124305401 - 210 = 1221124304377 is a prime.

It is a super-2 number, since 2×12211243054012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221124305421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21003806 + ... + 21061863.

It is an arithmetic number, because the mean of its divisors is an integer number (53002744200).

Almost surely, 21221124305401 is an apocalyptic number.

1221124305401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221124305401 is a deficient number, since it is larger than the sum of its proper divisors (474963508999).

1221124305401 is a wasteful number, since it uses less digits than its factorization.

1221124305401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42065729.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1221124305401 its reverse (1045034211221), we get a palindrome (2266158516622).

The spelling of 1221124305401 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-four million, three hundred five thousand, four hundred one".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 2233 2639 4147 29029 42065669 294459683 462722359 546853697 1219904401 3239056513 3827975879 6015390667 8539330807 13418948411 15858757213 42107734669 93932638877 111011300491 174446329343 1221124305401