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120012202300 = 225219674012351
BaseRepresentation
bin110111111000101001…
…0001110000100111100
3102110202212010112220111
41233301102032010330
53431241110433200
6131044405555404
711446004613424
oct1576122160474
9373685115814
10120012202300
1146995839971
121b313a15b64
13b41789a473
145b46c01484
1531c60b60ba
hex1bf148e13c

120012202300 has 144 divisors (see below), whose sum is σ = 279037140480. Its totient is φ = 44668800000.

The previous prime is 120012202273. The next prime is 120012202337. The reversal of 120012202300 is 3202210021.

It is a super-2 number, since 2×1200122023002 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 51046125 + ... + 51048475.

It is an arithmetic number, because the mean of its divisors is an integer number (1937757920).

Almost surely, 2120012202300 is an apocalyptic number.

120012202300 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 120012202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139518570240).

120012202300 is an abundant number, since it is smaller than the sum of its proper divisors (159024938180).

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

120012202300 is a wasteful number, since it uses less digits than its factorization.

120012202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2845 counting only the distinct ones).

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

Adding to 120012202300 its reverse (3202210021), we get a palindrome (123214412321).

The spelling of 120012202300 in words is "one hundred twenty billion, twelve million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 401 475 670 802 950 1273 1340 1604 1675 1900 2005 2351 2546 3350 4010 4702 5092 6365 6700 7619 8020 9404 10025 11755 12730 15238 20050 23510 25460 26867 30476 31825 38095 40100 44669 47020 53734 58775 63650 76190 89338 107468 117550 127300 134335 152380 157517 178676 190475 223345 235100 268670 315034 380950 446690 510473 537340 630068 671675 761900 787585 893380 942751 1020946 1116725 1343350 1575170 1885502 2041892 2233450 2552365 2686700 2992823 3150340 3771004 3937925 4466900 4713755 5104730 5985646 7875850 9427510 10209460 11971292 12761825 14964115 15751700 17912269 18855020 23568775 25523650 29928230 35824538 47137550 51047300 59856460 63164317 71649076 74820575 89561345 94275100 126328634 149641150 179122690 252657268 299282300 315821585 358245380 447806725 631643170 895613450 1200122023 1263286340 1579107925 1791226900 2400244046 3158215850 4800488092 6000610115 6316431700 12001220230 24002440460 30003050575 60006101150 120012202300