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1212210022120 = 2351928310195531
BaseRepresentation
bin10001101000111101010…
…110010000011011101000
311021212221000000111111221
4101220331112100123220
5124330101231201440
62324514231431424
7153402460115116
oct21507526203350
94255830014457
101212210022120
11428105a56469
12176b26825574
138a407105476
1442957db6ab6
15217ebae4d4a
hex11a3d5906e8

1212210022120 has 128 divisors (see below), whose sum is σ = 2884517568000. Its totient is φ = 457208720640.

The previous prime is 1212210022097. The next prime is 1212210022157. The reversal of 1212210022120 is 212200122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1212210022094 and 1212210022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219163755 + ... + 219169285.

It is an arithmetic number, because the mean of its divisors is an integer number (22535293500).

Almost surely, 21212210022120 is an apocalyptic number.

1212210022120 is a gapful number since it is divisible by the number (10) 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 1212210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442258784000).

1212210022120 is an abundant number, since it is smaller than the sum of its proper divisors (1672307545880).

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

1212210022120 is a wasteful number, since it uses less digits than its factorization.

1212210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1212210022120 its reverse (212200122121), we get a palindrome (1424410144241).

The spelling of 1212210022120 in words is "one trillion, two hundred twelve billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 283 380 566 760 1019 1132 1415 2038 2264 2830 4076 5095 5377 5531 5660 8152 10190 10754 11062 11320 19361 20380 21508 22124 26885 27655 38722 40760 43016 44248 53770 55310 77444 96805 105089 107540 110620 154888 193610 210178 215080 221240 288377 387220 420356 525445 576754 774440 840712 1050890 1153508 1441885 1565273 2101780 2307016 2883770 3130546 4203560 5479163 5636089 5767540 6261092 7826365 10958326 11272178 11535080 12522184 15652730 21916652 22544356 27395815 28180445 29740187 31305460 43833304 45088712 54791630 56360890 59480374 62610920 107085691 109583260 112721780 118960748 148700935 214171382 219166520 225443560 237921496 297401870 428342764 535428455 594803740 856685528 1070856910 1189607480 1595013187 2141713820 3190026374 4283427640 6380052748 7975065935 12760105496 15950131870 30305250553 31900263740 60610501106 63800527480 121221002212 151526252765 242442004424 303052505530 606105011060 1212210022120