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202012120111221 = 327192937157283641
BaseRepresentation
bin101101111011101010011100…
…101010001101100001110101
3222111021011120222121100111200
4231323222130222031201311
5202434231310222024341
61553351030430323113
760356615441133030
oct5573523452154165
9874234528540450
10202012120111221
115940494a3a3082
121a7a7376359499
1388948798204a4
1437c562003a017
151854beb115db6
hexb7ba9ca8d875

202012120111221 has 96 divisors (see below), whose sum is σ = 372950971910400. Its totient is φ = 102735157109760.

The previous prime is 202012120111211. The next prime is 202012120111229. The reversal of 202012120111221 is 122111021210202.

202012120111221 is a `hidden beast` number, since 20 + 201 + 21 + 201 + 1 + 1 + 221 = 666.

It is not a de Polignac number, because 202012120111221 - 217 = 202012119980149 is a prime.

It is a super-2 number, since 2×2020121201112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202012120111194 and 202012120111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012120111229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77357440 + ... + 79926201.

It is an arithmetic number, because the mean of its divisors is an integer number (3884905957400).

Almost surely, 2202012120111221 is an apocalyptic number.

202012120111221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202012120111221 is a deficient number, since it is larger than the sum of its proper divisors (170938851799179).

202012120111221 is a wasteful number, since it uses less digits than its factorization.

202012120111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157283739 (or 157283736 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202012120111221 its reverse (122111021210202), we get a palindrome (324123141321423).

The spelling of 202012120111221 in words is "two hundred two trillion, twelve billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 19 21 29 37 57 63 87 111 133 171 203 259 261 333 399 551 609 703 777 1073 1197 1653 1827 2109 2331 3219 3857 4921 4959 6327 7511 9657 11571 14763 20387 22533 34713 44289 61161 67599 142709 183483 428127 1284381 157283641 471850923 1100985487 1415552769 2988389179 3302956461 4561225589 5819494717 8965167537 9908869383 13683676767 17458484151 20918724253 26895502611 31928579123 40736463019 41051030301 52375452453 62756172759 86663286191 95785737369 110570399623 122209389057 168765346793 188268518277 259989858573 287357212107 331711198869 366628167171 506296040379 606643003337 773992797361 779969575719 995133596607 1181357427551 1518888121137 1819929010011 2321978392083 3206541589067 3544072282653 5459787030033 6965935176249 9619624767201 10632216847959 22445791123469 28858874301603 67337373370407 202012120111221