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12101221000 = 2353116171783
BaseRepresentation
bin10110100010100100…
…11111101010001000
31011020100120201110101
423101102133222020
5144240403033000
65320443055144
7605610452461
oct132122375210
934210521411
1012101221000
11514a9074a0
1224188114b4
1311ab114ccb
1482b249d68
154ac5b6e6a
hex2d149fa88

12101221000 has 128 divisors (see below), whose sum is σ = 30958536960. Its totient is φ = 4390848000.

The previous prime is 12101220953. The next prime is 12101221021. The reversal of 12101221000 is 12210121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 6786109 + ... + 6787891.

It is an arithmetic number, because the mean of its divisors is an integer number (241863570).

Almost surely, 212101221000 is an apocalyptic number.

12101221000 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 12101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479268480).

12101221000 is an abundant number, since it is smaller than the sum of its proper divisors (18857315960).

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

12101221000 is a wasteful number, since it uses less digits than its factorization.

12101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12101221000 its reverse (12210121), we get a palindrome (12113431121).

The spelling of 12101221000 in words is "twelve billion, one hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 617 1000 1100 1234 1375 1783 2200 2468 2750 3085 3566 4936 5500 6170 6787 7132 8915 11000 12340 13574 14264 15425 17830 19613 24680 27148 30850 33935 35660 39226 44575 54296 61700 67870 71320 77125 78452 89150 98065 123400 135740 154250 156904 169675 178300 196130 222875 271480 308500 339350 356600 392260 445750 490325 617000 678700 784520 848375 891500 980650 1100111 1357400 1696750 1783000 1961300 2200222 2451625 3393500 3922600 4400444 4903250 5500555 6787000 8800888 9806500 11001110 12101221 19613000 22002220 24202442 27502775 44004440 48404884 55005550 60506105 96809768 110011100 121012210 137513875 220022200 242024420 275027750 302530525 484048840 550055500 605061050 1100111000 1210122100 1512652625 2420244200 3025305250 6050610500 12101221000