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202120012120 = 235131097354323
BaseRepresentation
bin1011110000111101001…
…0101010000101011000
3201022201002110110101211
42330033102222011120
511302420210341440
6232504101152504
720413502520235
oct2741722520530
9638632413354
10202120012120
117879a528734
12332096bb734
13160a15c5b10
149ad589a78c
1553ce640eea
hex2f0f4aa158

202120012120 has 64 divisors (see below), whose sum is σ = 490200167520. Its totient is φ = 74560687104.

The previous prime is 202120012117. The next prime is 202120012219. The reversal of 202120012120 is 21210021202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 202120012120.

It is a congruent number.

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, 393279 + ... + 747601.

Almost surely, 2202120012120 is an apocalyptic number.

202120012120 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 202120012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245100083760).

202120012120 is an abundant number, since it is smaller than the sum of its proper divisors (288080155400).

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

202120012120 is a wasteful number, since it uses less digits than its factorization.

202120012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355444 (or 355440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202120012120 its reverse (21210021202), we get a palindrome (223330033322).

The spelling of 202120012120 in words is "two hundred two billion, one hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1097 2194 4388 5485 8776 10970 14261 21940 28522 43880 57044 71305 114088 142610 285220 354323 570440 708646 1417292 1771615 2834584 3543230 4606199 7086460 9212398 14172920 18424796 23030995 36849592 46061990 92123980 184247960 388692331 777384662 1554769324 1943461655 3109538648 3886923310 5053000303 7773846620 10106000606 15547693240 20212001212 25265001515 40424002424 50530003030 101060006060 202120012120