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12202211020120 = 23511229211157367
BaseRepresentation
bin1011000110010000110001…
…1101000000110101011000
31121012112001001210020200221
42301210030131000311120
53044410112010120440
641541341322005424
72366403110224222
oct261441435006530
947175031706627
1012202211020120
113984a24012160
121450a53946874
136a6881acb394
143028395a9412
1516261a53bd4a
hexb190c740d58

12202211020120 has 128 divisors (see below), whose sum is σ = 30096446054400. Its totient is φ = 4415621644800.

The previous prime is 12202211020079. The next prime is 12202211020123. The reversal of 12202211020120 is 2102011220221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12202211020094 and 12202211020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202211020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212675677 + ... + 212733043.

It is an arithmetic number, because the mean of its divisors is an integer number (235128484800).

Almost surely, 212202211020120 is an apocalyptic number.

12202211020120 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 12202211020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048223027200).

12202211020120 is an abundant number, since it is smaller than the sum of its proper divisors (17894235034280).

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

12202211020120 is a wasteful number, since it uses less digits than its factorization.

12202211020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59729 (or 59725 counting only the distinct ones).

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

Adding to 12202211020120 its reverse (2102011220221), we get a palindrome (14304222240341).

The spelling of 12202211020120 in words is "twelve trillion, two hundred two billion, two hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1832 2111 2290 2519 4222 4580 5038 8444 9160 10076 10555 12595 16888 20152 21110 23221 25190 42220 46442 50380 57367 84440 92884 100760 114734 116105 185768 229468 232210 286835 458936 464420 483419 573670 631037 928840 966838 1147340 1262074 1933676 2294680 2417095 2524148 3155185 3867352 4834190 5048296 5317609 6310370 9668380 10635218 12620740 13137043 19336760 21270436 25241480 26274086 26588045 42540872 52548172 53176090 65685215 105096344 106352180 121101737 131370430 144507473 212704360 242203474 262740860 289014946 484406948 525481720 578029892 605508685 722537365 968813896 1156059784 1211017370 1332119107 1445074730 2422034740 2664238214 2890149460 4844069480 5328476428 5780298920 6660595535 10656952856 13321191070 26642382140 27732297773 53284764280 55464595546 110929191092 138661488865 221858382184 277322977730 305055275503 554645955460 610110551006 1109291910920 1220221102012 1525276377515 2440442204024 3050552755030 6101105510060 12202211020120