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212011040120 = 23511541890653
BaseRepresentation
bin1100010101110011010…
…1111011110101111000
3202021020102011202001012
43011130311323311320
511433144311240440
6241221352213052
721213555051455
oct3053465736570
9667212152035
10212011040120
1181a05783440
123510a09a188
1316cb984aac9
14a39337482c
1557acb75e65
hex315cd7bd78

212011040120 has 64 divisors (see below), whose sum is σ = 521353225440. Its totient is φ = 76952332800.

The previous prime is 212011040099. The next prime is 212011040147. The reversal of 212011040120 is 21040110212.

It is a happy number.

It is a super-2 number, since 2×2120110401202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011040095 and 212011040104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207287 + ... + 683366.

Almost surely, 2212011040120 is an apocalyptic number.

212011040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011040120 is an abundant number, since it is smaller than the sum of its proper divisors (309342185320).

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

212011040120 is a wasteful number, since it uses less digits than its factorization.

212011040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891216 (or 891212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212011040120 its reverse (21040110212), we get a palindrome (233051150332).

The spelling of 212011040120 in words is "two hundred twelve billion, eleven million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 541 1082 2164 2705 4328 5410 5951 10820 11902 21640 23804 29755 47608 59510 119020 238040 890653 1781306 3562612 4453265 7125224 8906530 9797183 17813060 19594366 35626120 39188732 48985915 78377464 97971830 195943660 391887320 481843273 963686546 1927373092 2409216365 3854746184 4818432730 5300276003 9636865460 10600552006 19273730920 21201104012 26501380015 42402208024 53002760030 106005520060 212011040120