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212230120000 = 265429182957
BaseRepresentation
bin1100010110100111100…
…1101010001001000000
3202021210200102011010211
43011221321222021000
511434121402320000
6241255220003504
721222155153353
oct3055171521100
9667720364124
10212230120000
1182008408398
123516b530594
1317023055782
14a3b44c229a
1557c1eed7ba
hex3169e6a240

212230120000 has 140 divisors (see below), whose sum is σ = 544411654380. Its totient is φ = 81964288000.

The previous prime is 212230119991. The next prime is 212230120001. The reversal of 212230120000 is 21032212.

It can be written as a sum of positive squares in 10 ways, for example, as 123302108736 + 88928011264 = 351144^2 + 298208^2 .

It is not an unprimeable number, because it can be changed into a prime (212230120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1068522 + ... + 1251478.

Almost surely, 2212230120000 is an apocalyptic number.

212230120000 is a gapful number since it is divisible by the number (20) 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 212230120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272205827190).

212230120000 is an abundant number, since it is smaller than the sum of its proper divisors (332181534380).

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

212230120000 is an equidigital number, since it uses as much as digits as its factorization.

212230120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183018 (or 182993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212230120000 its reverse (21032212), we get a palindrome (212251152212).

The spelling of 212230120000 in words is "two hundred twelve billion, two hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 40000 46400 58000 72500 116000 145000 182957 232000 290000 365914 580000 731828 914785 1160000 1463656 1829570 2927312 3659140 4573925 5305753 5854624 7318280 9147850 10611506 11709248 14636560 18295700 21223012 22869625 26528765 29273120 36591400 42446024 45739250 53057530 58546240 73182800 84892048 91478500 106115060 114348125 132643825 146365600 169784096 182957000 212230120 228696250 265287650 292731200 339568192 365914000 424460240 457392500 530575300 663219125 731828000 848920480 914785000 1061150600 1326438250 1463656000 1697840960 1829570000 2122301200 2652876500 3316095625 3659140000 4244602400 5305753000 6632191250 7318280000 8489204800 10611506000 13264382500 21223012000 26528765000 42446024000 53057530000 106115060000 212230120000