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1201132020 = 2235113175741
BaseRepresentation
bin100011110010111…
…1101000111110100
310002201010211101010
41013211331013310
54424442211040
6315104232220
741523311424
oct10745750764
93081124333
101201132020
1156700a2a0
1229630b670
13161acc80a
14b5746484
15706b0e80
hex4797d1f4

1201132020 has 96 divisors (see below), whose sum is σ = 3681127296. Its totient is φ = 290214400.

The previous prime is 1201132007. The next prime is 1201132033. The reversal of 1201132020 is 202311021.

It is an interprime number because it is at equal distance from previous prime (1201132007) and next prime (1201132033).

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 = 1201131987 and 1201132005.

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, 206350 + ... + 212090.

It is an arithmetic number, because the mean of its divisors is an integer number (38345076).

Almost surely, 21201132020 is an apocalyptic number.

1201132020 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 1201132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840563648).

1201132020 is an abundant number, since it is smaller than the sum of its proper divisors (2479995276).

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

1201132020 is a wasteful number, since it uses less digits than its factorization.

1201132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6079 counting only the distinct ones).

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

The square root of 1201132020 is about 34657.3516010673. The cubic root of 1201132020 is about 1062.9926171503.

Adding to 1201132020 its reverse (202311021), we get a palindrome (1403443041).

The spelling of 1201132020 in words is "one billion, two hundred one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 3170 3487 3804 4755 5741 6340 6974 9510 10461 11482 13948 17223 17435 19020 20922 22964 28705 34446 34870 41844 52305 57410 63151 68892 69740 86115 104610 114820 126302 172230 189453 209220 252604 315755 344460 378906 631510 757812 947265 1263020 1819897 1894530 3639794 3789060 5459691 7279588 9099485 10919382 18198970 20018867 21838764 27298455 36397940 40037734 54596910 60056601 80075468 100094335 109193820 120113202 200188670 240226404 300283005 400377340 600566010 1201132020