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12112120021000 = 235348798325301
BaseRepresentation
bin1011000001000001001010…
…0111001000000000001000
31120212220111110200022020211
42300100102213020000020
53041421110211133000
641432121531130504
72360033424324136
oct260202247100010
946786443608224
1012112120021000
11394a7a2a9808a
1214374b05a3a34
1369b22519748c
142dc330580756
151600e61d77ba
hexb04129c8008

12112120021000 has 128 divisors (see below), whose sum is σ = 28430574082560. Its totient is φ = 4829790240000.

The previous prime is 12112120020983. The next prime is 12112120021007. The reversal of 12112120021000 is 12002121121.

It is not an unprimeable number, because it can be changed into a prime (12112120021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478708350 + ... + 478733650.

It is an arithmetic number, because the mean of its divisors is an integer number (222113860020).

Almost surely, 212112120021000 is an apocalyptic number.

12112120021000 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 12112120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215287041280).

12112120021000 is an abundant number, since it is smaller than the sum of its proper divisors (16318454061560).

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

12112120021000 is a wasteful number, since it uses less digits than its factorization.

12112120021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26792 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112120021000 its reverse (12002121121), we get a palindrome (12124122142121).

The spelling of 12112120021000 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 487 500 974 983 1000 1948 1966 2435 3896 3932 4870 4915 7864 9740 9830 12175 19480 19660 24350 24575 25301 39320 48700 49150 50602 60875 97400 98300 101204 121750 122875 126505 196600 202408 243500 245750 253010 478721 487000 491500 506020 632525 957442 983000 1012040 1265050 1914884 2393605 2530100 3162625 3829768 4787210 5060200 6325250 9574420 11968025 12321587 12650500 19148840 23936050 24643174 24870883 25301000 47872100 49286348 49741766 59840125 61607935 95744200 98572696 99483532 119680250 123215870 124354415 198967064 239360500 246431740 248708830 308039675 478721000 492863480 497417660 616079350 621772075 994835320 1232158700 1243544150 1540198375 2464317400 2487088300 3080396750 3108860375 4974176600 6160793500 6217720750 12112120021 12321587000 12435441500 24224240042 24870883000 48448480084 60560600105 96896960168 121121200210 242242400420 302803000525 484484800840 605606001050 1211212002100 1514015002625 2422424004200 3028030005250 6056060010500 12112120021000