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123212021000 = 23531019911231
BaseRepresentation
bin111001011000000000…
…0100011110100001000
3102210000212011011222012
41302300000203310020
54004314234133000
6132334113115052
711621210620055
oct1626000436410
9383025134865
10123212021000
1148287a79032
121ba67558a88
13b8077a4603
145d6bb8002c
153311e7a735
hex1cb0023d08

123212021000 has 128 divisors (see below), whose sum is σ = 291701329920. Its totient is φ = 48708000000.

The previous prime is 123212020979. The next prime is 123212021003. The reversal of 123212021000 is 120212321.

It is a happy number.

123212021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123212021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100090385 + ... + 100091615.

It is an arithmetic number, because the mean of its divisors is an integer number (2278916640).

Almost surely, 2123212021000 is an apocalyptic number.

123212021000 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 123212021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145850664960).

123212021000 is an abundant number, since it is smaller than the sum of its proper divisors (168489308920).

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

123212021000 is a wasteful number, since it uses less digits than its factorization.

123212021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 123212021000 its reverse (120212321), we get a palindrome (123332233321).

The spelling of 123212021000 in words is "one hundred twenty-three billion, two hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 991 1000 1010 1231 1982 2020 2462 2525 3964 4040 4924 4955 5050 6155 7928 9848 9910 10100 12310 12625 19820 20200 24620 24775 25250 30775 39640 49240 49550 50500 61550 99100 100091 101000 123100 123875 124331 153875 198200 200182 246200 247750 248662 307750 400364 495500 497324 500455 615500 621655 800728 991000 994648 1000910 1219921 1231000 1243310 2001820 2439842 2486620 2502275 3108275 4003640 4879684 4973240 5004550 6099605 6216550 9759368 10009100 12199210 12433100 12511375 15541375 20018200 24398420 24866200 25022750 30498025 31082750 48796840 50045500 60996050 62165500 100091000 121992100 123212021 124331000 152490125 243984200 246424042 304980250 492848084 609960500 616060105 985696168 1219921000 1232120210 2464240420 3080300525 4928480840 6160601050 12321202100 15401502625 24642404200 30803005250 61606010500 123212021000