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1212010222122 = 23472363377333
BaseRepresentation
bin10001101000110001011…
…100000101001000101010
311021212102002001121110000
4101220301130011020222
5124324144104101442
62324442333203430
7153364512622620
oct21506134051052
94255362047400
101212010222122
1142801319a7a7
12176a8b930576
138a3a48bb20b
1442939647510
15217d92c9d4c
hex11a3170522a

1212010222122 has 160 divisors (see below), whose sum is σ = 3239671640832. Its totient is φ = 331135174656.

The previous prime is 1212010222121. The next prime is 1212010222217. The reversal of 1212010222122 is 2212220102121.

It is a happy number.

1212010222122 is a `hidden beast` number, since 121 + 201 + 0 + 222 + 122 = 666.

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 = 1212010222095 and 1212010222104.

It is not an unprimeable number, because it can be changed into a prime (1212010222121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165277968 + ... + 165285300.

Almost surely, 21212010222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212010222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619835820416).

1212010222122 is an abundant number, since it is smaller than the sum of its proper divisors (2027661418710).

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

1212010222122 is a wasteful number, since it uses less digits than its factorization.

1212010222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714 (or 13705 counting only the distinct ones).

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

Adding to 1212010222122 its reverse (2212220102121), we get a palindrome (3424230324243).

The spelling of 1212010222122 in words is "one trillion, two hundred twelve billion, ten million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 6337 7333 8694 12674 13041 14666 19011 21999 26082 38022 43998 44359 51331 57033 65997 88718 102662 114066 131994 133077 145751 153993 168659 171099 197991 266154 291502 307986 337318 342198 395982 399231 437253 461979 505977 513297 593973 798462 874506 923958 1011954 1020257 1026594 1180613 1187946 1197693 1311759 1385937 1517931 2040514 2361226 2395386 2623518 2771874 3035862 3060771 3541839 3593079 3935277 4157811 4553793 6121542 7083678 7186158 7870554 8315622 9107586 9182313 10625517 11805831 13661379 18364626 21251034 23611662 27322758 27546939 31876551 46469221 55093878 63753102 82640817 92938442 95629653 139407663 165281634 191259306 278815326 325284547 418222989 650569094 836445978 975853641 1068792083 1254668967 1951707282 2137584166 2509337934 2927560923 3206376249 3764006901 5855121846 6412752498 7481544581 7528013802 8782682769 9619128747 14963089162 17565365538 19238257494 22444633743 26348048307 28857386241 44889267486 52696096614 57714772482 67333901229 86572158723 134667802458 173144317446 202001703687 404003407374 606005111061 1212010222122