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2212131012120 = 233257012387629
BaseRepresentation
bin100000001100001101010…
…010000111111000011000
321211110220012202210122200
4200030031102013320120
5242220421014341440
64412123340450200
7315551445233241
oct40141522077030
97743805683580
102212131012120
11783183316a37
122b8886249960
131307abbc9413
14790d3b33cc8
153c821450c30
hex2030d487e18

2212131012120 has 96 divisors (see below), whose sum is σ = 7189610360400. Its totient is φ = 589886459136.

The previous prime is 2212131012103. The next prime is 2212131012197. The reversal of 2212131012120 is 212101312122.

2212131012120 is a `hidden beast` number, since 2 + 212 + 1 + 310 + 121 + 20 = 666.

It is a super-2 number, since 2×22121310121202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212131012093 and 2212131012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25200466 + ... + 25288094.

Almost surely, 22212131012120 is an apocalyptic number.

2212131012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212131012120 is an abundant number, since it is smaller than the sum of its proper divisors (4977479348280).

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

2212131012120 is a wasteful number, since it uses less digits than its factorization.

2212131012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157769 (or 157762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2212131012120 its reverse (212101312122), we get a palindrome (2424232324242).

The spelling of 2212131012120 in words is "two trillion, two hundred twelve billion, one hundred thirty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 70123 87629 140246 175258 210369 262887 280492 350516 350615 420738 438145 525774 560984 631107 701032 701230 788661 841476 876290 1051548 1051845 1262214 1314435 1402460 1577322 1682952 1752580 2103096 2103690 2524428 2628870 2804920 3154644 3155535 3505160 3943305 4207380 5048856 5257740 6309288 6311070 7886610 8414760 10515480 12622140 15773220 25244280 31546440 6144808367 12289616734 18434425101 24579233468 30724041835 36868850202 49158466936 55303275303 61448083670 73737700404 92172125505 110606550606 122896167340 147475400808 184344251010 221213101212 245792334680 276516376515 368688502020 442426202424 553032753030 737377004040 1106065506060 2212131012120