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202200212121012 = 223275733171399543
BaseRepresentation
bin101101111110011001100111…
…110100010010010110110100
3222111221011002102220110100200
4231332121213310102112310
5203000322013300333022
61554013254535040500
760406324515626310
oct5576314764222664
9874834072813320
10202200212121012
11594776a0436a56
121a817909b10130
1388a9523a817c1
1437d0784810b40
151859a58e41bac
hexb7e667d125b4

202200212121012 has 72 divisors (see below), whose sum is σ = 584135382370176. Its totient is φ = 57771347131584.

The previous prime is 202200212120987. The next prime is 202200212121023. The reversal of 202200212121012 is 210121212002202.

It is a happy number.

202200212121012 is a `hidden beast` number, since 20 + 220 + 0 + 212 + 1 + 210 + 1 + 2 = 666.

202200212121012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143776113 + ... + 145175655.

It is an arithmetic number, because the mean of its divisors is an integer number (8112991421808).

Almost surely, 2202200212121012 is an apocalyptic number.

It is an amenable number.

202200212121012 is an abundant number, since it is smaller than the sum of its proper divisors (381935170249164).

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

202200212121012 is a wasteful number, since it uses less digits than its factorization.

202200212121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972877 (or 1972872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202200212121012 its reverse (210121212002202), we get a palindrome (412321424123214).

It can be divided in two parts, 202200 and 212121012, that added together give a palindrome (212323212).

The spelling of 202200212121012 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 573317 1146634 1399543 1719951 2293268 2799086 3439902 4013219 4198629 5159853 5598172 6879804 8026438 8397258 9796801 10319706 12039657 12595887 16052876 16794516 19593602 20639412 24079314 25191774 29390403 36118971 39187204 48158628 50383548 58780806 72237942 88171209 117561612 144475884 176342418 352684836 802381794131 1604763588262 2407145382393 3209527176524 4814290764786 5616672558917 7221436147179 9628581529572 11233345117834 14442872294358 16850017676751 22466690235668 28885744588716 33700035353502 50550053030253 67400070707004 101100106060506 202200212121012