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1212214120 = 2351310123081
BaseRepresentation
bin100100001000000…
…1110101101101000
310010110222212011021
41020100032231220
54440311322440
6320141542224
742016435645
oct11020165550
93113885137
101212214120
11572299457
12299b74974
131641aca80
14b6dccdcc
157164e84a
hex4840eb68

1212214120 has 64 divisors (see below), whose sum is σ = 2966498640. Its totient is φ = 443136000.

The previous prime is 1212214109. The next prime is 1212214147. The reversal of 1212214120 is 214122121.

It can be written as a sum of positive squares in 8 ways, for example, as 631114884 + 581099236 = 25122^2 + 24106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1212214094 and 1212214103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40980 + ... + 64060.

Almost surely, 21212214120 is an apocalyptic number.

1212214120 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 1212214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483249320).

1212214120 is an abundant number, since it is smaller than the sum of its proper divisors (1754284520).

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

1212214120 is a wasteful number, since it uses less digits than its factorization.

1212214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23206 (or 23202 counting only the distinct ones).

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

The square root of 1212214120 is about 34816.8654533977. The cubic root of 1212214120 is about 1066.2518052477.

Adding to 1212214120 its reverse (214122121), we get a palindrome (1426336241).

The spelling of 1212214120 in words is "one billion, two hundred twelve million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 23081 26260 46162 52520 92324 115405 184648 230810 300053 461620 600106 923240 1200212 1500265 2331181 2400424 3000530 4662362 6001060 9324724 11655905 12002120 18649448 23311810 30305353 46623620 60610706 93247240 121221412 151526765 242442824 303053530 606107060 1212214120