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12202021120 = 28582711527
BaseRepresentation
bin10110101110100110…
…00001000100000000
31011111101020220020011
423113103001010000
5144442204133440
65334443354304
7611243316412
oct132723010400
934441226204
1012202021120
1151a17a5083
122446522994
1311c5c78a53
1483a7a89b2
154b63789ea
hex2d74c1100

12202021120 has 72 divisors (see below), whose sum is σ = 29265534144. Its totient is φ = 4874483712.

The previous prime is 12202021081. The next prime is 12202021127. The reversal of 12202021120 is 2112020221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12202021120.

It is not an unprimeable number, because it can be changed into a prime (12202021127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052797 + ... + 1064323.

It is an arithmetic number, because the mean of its divisors is an integer number (406465752).

Almost surely, 212202021120 is an apocalyptic number.

12202021120 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 12202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632767072).

12202021120 is an abundant number, since it is smaller than the sum of its proper divisors (17063513024).

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

12202021120 is an equidigital number, since it uses as much as digits as its factorization.

12202021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12375 (or 12361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202021120 its reverse (2112020221), we get a palindrome (14314041341).

The spelling of 12202021120 in words is "twelve billion, two hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 827 1280 1654 3308 4135 6616 8270 11527 13232 16540 23054 26464 33080 46108 52928 57635 66160 92216 105856 115270 132320 184432 211712 230540 264640 368864 461080 529280 737728 922160 1058560 1475456 1844320 2950912 3688640 7377280 9532829 14754560 19065658 38131316 47664145 76262632 95328290 152525264 190656580 305050528 381313160 610101056 762626320 1220202112 1525252640 2440404224 3050505280 6101010560 12202021120