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12120022000 = 2453792971
BaseRepresentation
bin10110100100110100…
…01101101111110000
31011021122221220120201
423102122031233300
5144310211201000
65322354044544
7606226326052
oct132232155760
934248856521
1012120022000
11515a488a09
122422b79754
1311b1c98768
1482d9418d2
154ae07c96a
hex2d268dbf0

12120022000 has 120 divisors (see below), whose sum is σ = 29712442032. Its totient is φ = 4781712000.

The previous prime is 12120021941. The next prime is 12120022001. The reversal of 12120022000 is 22002121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120022001) 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, 12481515 + ... + 12482485.

Almost surely, 212120022000 is an apocalyptic number.

12120022000 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 12120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856221016).

12120022000 is an abundant number, since it is smaller than the sum of its proper divisors (17592420032).

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

12120022000 is an frugal number, since it uses more digits than its factorization.

12120022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12120022000 its reverse (22002121), we get a palindrome (12142024121).

The spelling of 12120022000 in words is "twelve billion, one hundred twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 971 1000 1264 1580 1942 1975 2000 3160 3884 3950 4855 6241 6320 7768 7900 9710 9875 12482 15536 15800 19420 19750 24275 24964 31205 31600 38840 39500 48550 49928 62410 76709 77680 79000 97100 99856 121375 124820 153418 156025 158000 194200 242750 249640 306836 312050 383545 388400 485500 499280 613672 624100 767090 780125 971000 1227344 1248200 1534180 1560250 1917725 1942000 2496400 3068360 3120500 3835450 6060011 6136720 6241000 7670900 9588625 12120022 12482000 15341800 19177250 24240044 30300055 30683600 38354500 48480088 60600110 76709000 96960176 121200220 151500275 153418000 242400440 303000550 484800880 606001100 757501375 1212002200 1515002750 2424004400 3030005500 6060011000 12120022000