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2120112222120 = 2332510158308917
BaseRepresentation
bin11110110110100000100…
…010010010111110101000
321111200101021011221021100
4132312200202102332220
5234213442212101440
64301544402441400
7306113233355454
oct36664042227650
97450337157240
102120112222120
11748153095062
122a2a85363260
13124c05a81359
1474884a89664
153a237c4e230
hex1eda0892fa8

2120112222120 has 96 divisors (see below), whose sum is σ = 6958586274120. Its totient is φ = 559765593600.

The previous prime is 2120112222097. The next prime is 2120112222131. The reversal of 2120112222120 is 212222110212.

It is a happy number.

2120112222120 is a `hidden beast` number, since 212 + 0 + 112 + 222 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2113831025604 + 6281196516 = 1453902^2 + 79254^2 .

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 = 2120112222093 and 2120112222102.

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, 29118099 + ... + 29190818.

Almost surely, 22120112222120 is an apocalyptic number.

2120112222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112222120 is an abundant number, since it is smaller than the sum of its proper divisors (4838474052000).

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

2120112222120 is a wasteful number, since it uses less digits than its factorization.

2120112222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58309035 (or 58309028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120112222120 its reverse (212222110212), we get a palindrome (2332334332332).

The spelling of 2120112222120 in words is "two trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty-two 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 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 58308917 116617834 174926751 233235668 291544585 349853502 466471336 524780253 583089170 699707004 874633755 1049560506 1166178340 1399414008 1749267510 2099121012 2332356680 2623901265 3498535020 4198242024 5247802530 5889200617 6997070040 10495605060 11778401234 17667601851 20991210120 23556802468 29446003085 35335203702 47113604936 53002805553 58892006170 70670407404 88338009255 106005611106 117784012340 141340814808 176676018510 212011222212 235568024680 265014027765 353352037020 424022444424 530028055530 706704074040 1060056111060 2120112222120