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121202984352 = 25314946318301
BaseRepresentation
bin111000011100001000…
…0101100010110100000
3102120211211210112210110
41300320100230112200
53441210430444402
6131402504331320
711520344240262
oct1607020542640
9376754715713
10121202984352
1147446a1a06a
121b5a6773b40
13b5774b5028
145c1b011b32
1532458d056c
hex1c3842c5a0

121202984352 has 96 divisors (see below), whose sum is σ = 321002438400. Its totient is φ = 40040985600.

The previous prime is 121202984339. The next prime is 121202984381. The reversal of 121202984352 is 253489202121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 121202984352.

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, 6613602 + ... + 6631902.

It is an arithmetic number, because the mean of its divisors is an integer number (3343775400).

Almost surely, 2121202984352 is an apocalyptic number.

121202984352 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 121202984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160501219200).

121202984352 is an abundant number, since it is smaller than the sum of its proper divisors (199799454048).

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

121202984352 is a wasteful number, since it uses less digits than its factorization.

121202984352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18926 (or 18918 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 121202984352 in words is "one hundred twenty-one billion, two hundred two million, nine hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 463 596 894 926 1192 1389 1788 1852 2384 2778 3576 3704 4768 5556 7152 7408 11112 14304 14816 18301 22224 36602 44448 54903 68987 73204 109806 137974 146408 206961 219612 275948 292816 413922 439224 551896 585632 827844 878448 1103792 1655688 1756896 2207584 2726849 3311376 5453698 6622752 8180547 8473363 10907396 16361094 16946726 21814792 25420089 32722188 33893452 43629584 50840178 65444376 67786904 87259168 101680356 130888752 135573808 203360712 261777504 271147616 406721424 813442848 1262531087 2525062174 3787593261 5050124348 7575186522 10100248696 15150373044 20200497392 30300746088 40400994784 60601492176 121202984352