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1221130200 = 2335213191543
BaseRepresentation
bin100100011001000…
…1111011111011000
310011002202211201110
41020302033133120
510000102131300
6321101020320
742155302233
oct11062173730
93132684643
101221130200
11577329214
122a0b546a0
13165cb2164
14b827041a
1572311550
hex48c8f7d8

1221130200 has 96 divisors (see below), whose sum is σ = 3790828800. Its totient is φ = 325176960.

The previous prime is 1221130189. The next prime is 1221130201. The reversal of 1221130200 is 20311221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790629 + ... + 792171.

It is an arithmetic number, because the mean of its divisors is an integer number (39487800).

Almost surely, 21221130200 is an apocalyptic number.

1221130200 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 1221130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895414400).

1221130200 is an abundant number, since it is smaller than the sum of its proper divisors (2569698600).

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

1221130200 is a wasteful number, since it uses less digits than its factorization.

1221130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2872 counting only the distinct ones).

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

The square root of 1221130200 is about 34944.6734138409. The cubic root of 1221130200 is about 1068.8595879556.

Adding to 1221130200 its reverse (20311221), we get a palindrome (1241441421).

The spelling of 1221130200 in words is "one billion, two hundred twenty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1319 1543 2638 3086 3957 4629 5276 6172 6595 7715 7914 9258 10552 12344 13190 15430 15828 18516 19785 23145 26380 30860 31656 32975 37032 38575 39570 46290 52760 61720 65950 77150 79140 92580 98925 115725 131900 154300 158280 185160 197850 231450 263800 308600 395700 462900 791400 925800 2035217 4070434 6105651 8140868 10176085 12211302 16281736 20352170 24422604 30528255 40704340 48845208 50880425 61056510 81408680 101760850 122113020 152641275 203521700 244226040 305282550 407043400 610565100 1221130200