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1213321202112 = 263231511181837
BaseRepresentation
bin10001101001111111100…
…101000100100111000000
311021222210102220021220110
4101221333211010213000
5124334340211431422
62325220404111320
7153442142023665
oct21517745044700
94258712807813
101213321202112
11428626207438
12177196995540
138a55339bb16
1442a217c5a6c
152186443860c
hex11a7f9449c0

1213321202112 has 112 divisors (see below), whose sum is σ = 3352056970752. Its totient is φ = 386597882880.

The previous prime is 1213321202059. The next prime is 1213321202143. The reversal of 1213321202112 is 2112021233121.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6581658 + ... + 6763494.

It is an arithmetic number, because the mean of its divisors is an integer number (29929080096).

Almost surely, 21213321202112 is an apocalyptic number.

1213321202112 is a gapful number since it is divisible by the number (12) 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 1213321202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676028485376).

1213321202112 is an abundant number, since it is smaller than the sum of its proper divisors (2138735768640).

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

1213321202112 is a wasteful number, since it uses less digits than its factorization.

1213321202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183386 (or 183376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1213321202112 its reverse (2112021233121), we get a palindrome (3325342435233).

The spelling of 1213321202112 in words is "one trillion, two hundred thirteen billion, three hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 1511 2208 3022 4416 4533 6044 9066 12088 18132 24176 34753 36264 48352 69506 72528 96704 104259 139012 145056 181837 208518 278024 290112 363674 417036 545511 556048 727348 834072 1091022 1112096 1454696 1668144 2182044 2224192 2909392 3336288 4182251 4364088 5818784 6672576 8364502 8728176 11637568 12546753 16729004 17456352 25093506 33458008 34912704 50187012 66916016 100374024 133832032 200748048 267664064 274755707 401496096 549511414 802992192 824267121 1099022828 1648534242 2198045656 3297068484 4396091312 6319381261 6594136968 8792182624 12638762522 13188273936 17584365248 18958143783 25277525044 26376547872 37916287566 50555050088 52753095744 75832575132 101110100176 151665150264 202220200352 303330300528 404440400704 606660601056 1213321202112