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1201233420 = 22325232571129
BaseRepresentation
bin100011110011001…
…0101111000001100
310002201022222110200
41013212111320030
54430003432140
6315110333500
741524213152
oct10746257014
93081288420
101201233420
115670794a2
1229635a290
13161b36a0a
14b57713d2
15706d1030
hex47995e0c

1201233420 has 144 divisors (see below), whose sum is σ = 3820340160. Its totient is φ = 304939008.

The previous prime is 1201233391. The next prime is 1201233421. The reversal of 1201233420 is 243321021.

1201233420 is a `hidden beast` number, since 12 + 0 + 1 + 233 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201233393 and 1201233402.

It is not an unprimeable number, because it can be changed into a prime (1201233421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063416 + ... + 1064544.

It is an arithmetic number, because the mean of its divisors is an integer number (26530140).

Almost surely, 21201233420 is an apocalyptic number.

1201233420 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 1201233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910170080).

1201233420 is an abundant number, since it is smaller than the sum of its proper divisors (2619106740).

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

1201233420 is a wasteful number, since it uses less digits than its factorization.

1201233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1201233420 is about 34658.8144632790. The cubic root of 1201233420 is about 1063.0225290491.

Adding to 1201233420 its reverse (243321021), we get a palindrome (1444554441).

The spelling of 1201233420 in words is "one billion, two hundred one million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 257 276 345 414 460 514 690 771 828 1028 1035 1129 1285 1380 1542 2070 2258 2313 2570 3084 3387 3855 4140 4516 4626 5140 5645 5911 6774 7710 9252 10161 11290 11565 11822 13548 15420 16935 17733 20322 22580 23130 23644 25967 29555 33870 35466 40644 46260 50805 51934 53199 59110 67740 70932 77901 88665 101610 103868 106398 118220 129835 155802 177330 203220 212796 233703 259670 265995 290153 311604 354660 389505 467406 519340 531990 580306 779010 870459 934812 1063980 1160612 1168515 1450765 1558020 1740918 2337030 2611377 2901530 3481836 4352295 4674060 5222754 5803060 6673519 8704590 10445508 13056885 13347038 17409180 20020557 26113770 26694076 33367595 40041114 52227540 60061671 66735190 80082228 100102785 120123342 133470380 200205570 240246684 300308355 400411140 600616710 1201233420