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212122031120 = 245109179135899
BaseRepresentation
bin1100010110001101110…
…1010101010000010000
3202021112011000200001222
43011203131111100100
511433411214443440
6241240355144212
721216403341416
oct3054335252020
9667464020058
10212122031120
1181a623a163a
123513b2a5068
131700683c25c
14a3a3dc72b6
1557b779c2b5
hex3163755410

212122031120 has 80 divisors (see below), whose sum is σ = 500492520000. Its totient is φ = 83600100864.

The previous prime is 212122031119. The next prime is 212122031183. The reversal of 212122031120 is 21130221212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492931 + ... + 1628829.

It is an arithmetic number, because the mean of its divisors is an integer number (6256156500).

Almost surely, 2212122031120 is an apocalyptic number.

212122031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250246260000).

212122031120 is an abundant number, since it is smaller than the sum of its proper divisors (288370488880).

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

212122031120 is a wasteful number, since it uses less digits than its factorization.

212122031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136200 (or 136194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212122031120 its reverse (21130221212), we get a palindrome (233252252332).

The spelling of 212122031120 in words is "two hundred twelve billion, one hundred twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 179 218 358 436 545 716 872 895 1090 1432 1744 1790 2180 2864 3580 4360 7160 8720 14320 19511 39022 78044 97555 135899 156088 195110 271798 312176 390220 543596 679495 780440 1087192 1358990 1560880 2174384 2717980 5435960 10871920 14812991 24325921 29625982 48651842 59251964 74064955 97303684 118503928 121629605 148129910 194607368 237007856 243259210 296259820 389214736 486518420 592519640 973036840 1185039280 1946073680 2651525389 5303050778 10606101556 13257626945 21212203112 26515253890 42424406224 53030507780 106061015560 212122031120