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1213200120 = 2335117431237
BaseRepresentation
bin100100001001111…
…1111011011111000
310010112211221200210
41020103333123320
54441034400440
6320215031120
742031013406
oct11023773370
93115757623
101213200120
11572902230
1229a36b4a0
131644667c2
14b71a8476
1571796a80
hex484ff6f8

1213200120 has 128 divisors (see below), whose sum is σ = 3979031040. Its totient is φ = 293475840.

The previous prime is 1213200083. The next prime is 1213200137. The reversal of 1213200120 is 210023121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1213200096 and 1213200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980142 + ... + 981378.

It is an arithmetic number, because the mean of its divisors is an integer number (31086180).

Almost surely, 21213200120 is an apocalyptic number.

1213200120 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 1213200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989515520).

1213200120 is an abundant number, since it is smaller than the sum of its proper divisors (2765830920).

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

1213200120 is a wasteful number, since it uses less digits than its factorization.

1213200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1213200120 is about 34831.0223794823. The cubic root of 1213200120 is about 1066.5408189201.

Adding to 1213200120 its reverse (210023121), we get a palindrome (1423223241).

The spelling of 1213200120 in words is "one billion, two hundred thirteen million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 743 1237 1320 1486 2229 2474 2972 3711 3715 4458 4948 5944 6185 7422 7430 8173 8916 9896 11145 12370 13607 14844 14860 16346 17832 18555 22290 24519 24740 27214 29688 29720 32692 37110 40821 40865 44580 49038 49480 54428 65384 68035 74220 81642 81730 89160 98076 108856 122595 136070 148440 163284 163460 196152 204105 245190 272140 326568 326920 408210 490380 544280 816420 919091 980760 1632840 1838182 2757273 3676364 4595455 5514546 7352728 9190910 10110001 11029092 13786365 18381820 20220002 22058184 27572730 30330003 36763640 40440004 50550005 55145460 60660006 80880008 101100010 110290920 121320012 151650015 202200020 242640024 303300030 404400040 606600060 1213200120