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1211021420004 = 22321161151332009
BaseRepresentation
bin10001100111110110100…
…000000110010111100100
311021202212011110020221100
4101213312200012113210
5124320132440420004
62324200251520100
7153331145140614
oct21476640062744
94252764406840
101211021420004
11427656025070
12176854759030
138a277aa1bc6
14428841b2a44
152177c5ab739
hex119f68065e4

1211021420004 has 144 divisors (see below), whose sum is σ = 3416717566080. Its totient is φ = 358568640000.

The previous prime is 1211021419999. The next prime is 1211021420039. The reversal of 1211021420004 is 4000241201121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3481552 + ... + 3813560.

It is an arithmetic number, because the mean of its divisors is an integer number (23727205320).

Almost surely, 21211021420004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211021420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708358783040).

1211021420004 is an abundant number, since it is smaller than the sum of its proper divisors (2205696146076).

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

1211021420004 is a wasteful number, since it uses less digits than its factorization.

1211021420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332242 (or 332237 counting only the distinct ones).

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

Adding to 1211021420004 its reverse (4000241201121), we get a palindrome (5211262621125).

The spelling of 1211021420004 in words is "one trillion, two hundred eleven billion, twenty-one million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 151 183 198 244 302 366 396 453 549 604 671 732 906 1098 1342 1359 1661 1812 2013 2196 2684 2718 3322 4026 4983 5436 6039 6644 8052 9211 9966 12078 14949 18422 19932 24156 27633 29898 36844 55266 59796 82899 101321 110532 165798 202642 303963 331596 332009 405284 607926 664018 911889 996027 1215852 1328036 1823778 1992054 2988081 3647556 3652099 3984108 5976162 7304198 10956297 11952324 14608396 20252549 21912594 32868891 40505098 43825188 50133359 60757647 65737782 81010196 100266718 121515294 131475564 150400077 182272941 200533436 222778039 243030588 300800154 364545882 445556078 451200231 551466949 601600308 668334117 729091764 891112156 902400462 1102933898 1336668234 1654400847 1804800924 2005002351 2205867796 2673336468 3058134899 3308801694 4010004702 4963202541 6116269798 6617603388 8020009404 9174404697 9926405082 12232539596 18348809394 19852810164 27523214091 33639483889 36697618788 55046428182 67278967778 100918451667 110092856364 134557935556 201836903334 302755355001 403673806668 605510710002 1211021420004