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1121020120221 = 3171923122940927
BaseRepresentation
bin10000010100000010000…
…000011000110010011101
310222011112211010111211220
4100110002000120302131
5121331322122321341
62214553423403553
7143663631541611
oct20240200306235
93864484114756
101121020120221
113a24706a6481
121613174535b9
1381933916131
143c387057341
151e261074a66
hex10502018c9d

1121020120221 has 64 divisors (see below), whose sum is σ = 1739800166400. Its totient is φ = 636858326016.

The previous prime is 1121020120151. The next prime is 1121020120237. The reversal of 1121020120221 is 1220210201211.

It is not a de Polignac number, because 1121020120221 - 222 = 1121015925917 is a prime.

It is a super-2 number, since 2×11210201202212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121020120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121020120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27370260 + ... + 27411186.

It is an arithmetic number, because the mean of its divisors is an integer number (27184377600).

Almost surely, 21121020120221 is an apocalyptic number.

It is an amenable number.

1121020120221 is a deficient number, since it is larger than the sum of its proper divisors (618780046179).

1121020120221 is a wasteful number, since it uses less digits than its factorization.

1121020120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42218.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1121020120221 its reverse (1220210201211), we get a palindrome (2341230321432).

The spelling of 1121020120221 in words is "one trillion, one hundred twenty-one billion, twenty million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 17 19 23 51 57 69 323 391 437 969 1173 1229 1311 3687 7429 20893 22287 23351 28267 40927 62679 70053 84801 122781 396967 480539 537073 695759 777613 941321 1190901 1441617 1611219 2087277 2332839 2823963 9130241 13219421 16002457 17885099 27390723 39658263 48007371 50299283 53655297 150897849 304046683 855087811 912140049 955686377 1156883509 2565263433 2867059131 3470650527 16246668409 19667019653 21980786671 48740005227 59001058959 65942360013 373673373407 1121020120221