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1212210012128 = 252310146734919
BaseRepresentation
bin10001101000111101010…
…110001101111111100000
311021212220222222222210212
4101220331112031333200
5124330101230342003
62324514231313252
7153402460044023
oct21507526157740
94255828888725
101212210012128
11428105a49a05
12176b2681b828
138a407100a5b
1442957db31ba
15217ebae1dd8
hex11a3d58dfe0

1212210012128 has 96 divisors (see below), whose sum is σ = 2520414973440. Its totient is φ = 572766937600.

The previous prime is 1212210012127. The next prime is 1212210012227. The reversal of 1212210012128 is 8212100122121.

It is a super-2 number, since 2×12122100121282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212210012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34697453 + ... + 34732371.

It is an arithmetic number, because the mean of its divisors is an integer number (26254322640).

Almost surely, 21212210012128 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 1212210012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260207486720).

1212210012128 is an abundant number, since it is smaller than the sum of its proper divisors (1308204961312).

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

1212210012128 is a wasteful number, since it uses less digits than its factorization.

1212210012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35520 (or 35512 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 1212210012128 its reverse (8212100122121), we get a palindrome (9424310134249).

The spelling of 1212210012128 in words is "one trillion, two hundred twelve billion, two hundred ten million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 101 184 202 368 404 467 736 808 934 1616 1868 2323 3232 3736 4646 7472 9292 10741 14944 18584 21482 34919 37168 42964 47167 69838 74336 85928 94334 139676 171856 188668 279352 343712 377336 558704 754672 803137 1084841 1117408 1509344 1606274 2169682 3212548 3526819 4339364 6425096 7053638 8678728 12850192 14107276 16307173 17357456 25700384 28214552 32614346 34714912 56429104 65228692 81116837 112858208 130457384 162233674 260914768 324467348 375064979 521829536 648934696 750129958 1297869392 1500259916 1647024473 2595738784 3000519832 3294048946 6001039664 6588097892 12002079328 13176195784 26352391568 37881562879 52704783136 75763125758 151526251516 303052503032 606105006064 1212210012128