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10012220201200 = 2452731115348159
BaseRepresentation
bin1001000110110010011011…
…0101000001100011110000
31022110011021211200210102211
42101230212311001203300
52303020011332414300
633143314522221504
72052234102343120
oct221544665014360
938404254623384
1010012220201200
113210182316058
121158528354894
135781c0acb1c9
142688460aac80
15125692bad4ba
hex91b26d418f0

10012220201200 has 120 divisors (see below), whose sum is σ = 28377492930560. Its totient is φ = 3322026950400.

The previous prime is 10012220201189. The next prime is 10012220201257. The reversal of 10012220201200 is 210202221001.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 57587280 + ... + 57760879.

Almost surely, 210012220201200 is an apocalyptic number.

10012220201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012220201200 is an abundant number, since it is smaller than the sum of its proper divisors (18365272729360).

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

10012220201200 is a wasteful number, since it uses less digits than its factorization.

10012220201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115348215 (or 115348204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10012220201200 its reverse (210202221001), we get a palindrome (10222422422201).

The spelling of 10012220201200 in words is "ten trillion, twelve billion, two hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800 115348159 230696318 461392636 576740795 807437113 922785272 1153481590 1614874226 1845570544 2306963180 2883703975 3229748452 3575792929 4037185565 4613926360 5767407950 6459496904 7151585858 8074371130 9227852720 11534815900 12918993808 14303171716 16148742260 17878964645 20185927825 23069631800 25030550503 28606343432 32297484520 35757929290 40371855650 46139263600 50061101006 57212686864 64594969040 71515858580 80743711300 89394823225 100122202012 125152752515 143031717160 161487422600 178789646450 200244404024 250305505030 286063434320 322974845200 357579292900 400488808048 500611010060 625763762575 715158585800 1001222020120 1251527525150 1430317171600 2002444040240 2503055050300 5006110100600 10012220201200