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210021000121200 = 24352194869898129
BaseRepresentation
bin101111110000001101010011…
…000110111000101101110000
31000112121210220121022000000110
4233300031103012320231300
5210011441002012334300
62022402152052021320
762144342112033222
oct5760152306705560
91015553817260013
10210021000121200
1160a12451372234
121b67b588001840
139025b84072408
1439c10dbbb8412
1519431dc955550
hexbf03531b8b70

210021000121200 has 120 divisors (see below), whose sum is σ = 672771471876400. Its totient is φ = 56005250273280.

The previous prime is 210021000121193. The next prime is 210021000121201. The reversal of 210021000121200 is 2121000120012.

210021000121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021000121201) 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, 233393736 + ... + 234291864.

Almost surely, 2210021000121200 is an apocalyptic number.

210021000121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021000121200 is an abundant number, since it is smaller than the sum of its proper divisors (462750471755200).

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

210021000121200 is a wasteful number, since it uses less digits than its factorization.

210021000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093019 (or 1093008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021000121200 its reverse (2121000120012), we get a palindrome (212142000241212).

The spelling of 210021000121200 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 194869 389738 584607 779476 898129 974345 1169214 1558952 1796258 1948690 2338428 2694387 2923035 3117904 3592516 3897380 4490645 4676856 4871725 5388774 5846070 7185032 7794760 8981290 9353712 9743450 10777548 11692140 13471935 14370064 14615175 15589520 17962580 19486900 21555096 22453225 23384280 26943870 29230350 35925160 38973800 43110192 44906450 46768560 53887740 58460700 67359675 71850320 77947600 89812900 107775480 116921400 134719350 179625800 215550960 233842800 269438700 359251600 538877400 1077754800 175017500101 350035000202 525052500303 700070000404 875087500505 1050105000606 1400140000808 1750175001010 2100210001212 2625262501515 2800280001616 3500350002020 4200420002424 4375437502525 5250525003030 7000700004040 8400840004848 8750875005050 10501050006060 13126312507575 14001400008080 17501750010100 21002100012120 26252625015150 35003500020200 42004200024240 52505250030300 70007000040400 105010500060600 210021000121200