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1202121110120 = 235723671671191
BaseRepresentation
bin10001011111100100000…
…000000111001001101000
311020220212212221200001112
4101133210000013021220
5124143421001010440
62320125151205452
7152564452561400
oct21374400071150
94226785850045
101202121110120
114238a9033567
12174b8bb16888
1389489b87358
144227c10b800
152140b022965
hex117e4007268

1202121110120 has 96 divisors (see below), whose sum is σ = 3154943105280. Its totient is φ = 411032522880.

The previous prime is 1202121110089. The next prime is 1202121110123. The reversal of 1202121110120 is 210111212021.

It is a super-2 number, since 2×12021211101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1202121110095 and 1202121110104.

It is not an unprimeable number, because it can be changed into a prime (1202121110123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116276 + ... + 1554915.

It is an arithmetic number, because the mean of its divisors is an integer number (32863990680).

Almost surely, 21202121110120 is an apocalyptic number.

1202121110120 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 1202121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577471552640).

1202121110120 is an abundant number, since it is smaller than the sum of its proper divisors (1952821995160).

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

1202121110120 is a wasteful number, since it uses less digits than its factorization.

1202121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671583 (or 1671572 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1202121110120 its reverse (210111212021), we get a palindrome (1412232322141).

The spelling of 1202121110120 in words is "one trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 367 392 490 734 980 1468 1835 1960 2569 2936 3670 5138 7340 10276 12845 14680 17983 20552 25690 35966 51380 71932 89915 102760 143864 179830 359660 719320 1671191 3342382 6684764 8355955 11698337 13369528 16711910 23396674 33423820 46793348 58491685 66847640 81888359 93586696 116983370 163776718 233966740 327553436 409441795 467933480 613327097 655106872 818883590 1226654194 1637767180 2453308388 3066635485 3275534360 4293289679 4906616776 6133270970 8586579358 12266541940 17173158716 21466448395 24533083880 30053027753 34346317432 42932896790 60106055506 85865793580 120212111012 150265138765 171731587160 240424222024 300530277530 601060555060 1202121110120