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1202120220 = 223574576263
BaseRepresentation
bin100011110100110…
…1110011000011100
310002210000000221010
41013221232120130
54430220321340
6315141335220
741534565450
oct10751563034
93083000833
101202120220
11567624794
12296707510
13162087552
14b5922660
1570808b80
hex47a6e61c

1202120220 has 96 divisors (see below), whose sum is σ = 3855817728. Its totient is φ = 274125312.

The previous prime is 1202120197. The next prime is 1202120239. The reversal of 1202120220 is 220212021.

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 = 1202120196 and 1202120205.

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, 188809 + ... + 195071.

It is an arithmetic number, because the mean of its divisors is an integer number (40164768).

Almost surely, 21202120220 is an apocalyptic number.

1202120220 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 1202120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927908864).

1202120220 is an abundant number, since it is smaller than the sum of its proper divisors (2653697508).

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

1202120220 is a wasteful number, since it uses less digits than its factorization.

1202120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1202120220 is about 34671.6053853870. The cubic root of 1202120220 is about 1063.2840537123.

Adding to 1202120220 its reverse (220212021), we get a palindrome (1422332241).

The spelling of 1202120220 in words is "one billion, two hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 457 914 1371 1828 2285 2742 3199 4570 5484 6263 6398 6855 9140 9597 12526 12796 13710 15995 18789 19194 25052 27420 31315 31990 37578 38388 43841 47985 62630 63980 75156 87682 93945 95970 125260 131523 175364 187890 191940 219205 263046 375780 438410 526092 657615 876820 1315230 2630460 2862191 5724382 8586573 11448764 14310955 17173146 20035337 28621910 34346292 40070674 42932865 57243820 60106011 80141348 85865730 100176685 120212022 171731460 200353370 240424044 300530055 400706740 601060110 1202120220