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20120112121000 = 235353379624757
BaseRepresentation
bin1001001001100100101000…
…01000101100010010101000
32122020110112012121110020211
410210302110020230102220
510114121442200333000
6110443015113430504
74144426064141443
oct444622410542250
978213465543224
1020120112121000
116457989842341
12230b4b4a0b434
13b2c41a796998
144d7b6642c65a
1524d584ad77ba
hex124c9422c4a8

20120112121000 has 64 divisors (see below), whose sum is σ = 47969384420880. Its totient is φ = 7896194924800.

The previous prime is 20120112120991. The next prime is 20120112121027. The reversal of 20120112121000 is 12121102102.

It can be written as a sum of positive squares in 8 ways, for example, as 4472692035876 + 15647420085124 = 2114874^2 + 3955682^2 .

It is a super-2 number, since 2×201201121210002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189759379 + ... + 189865378.

Almost surely, 220120112121000 is an apocalyptic number.

20120112121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120112121000 is an abundant number, since it is smaller than the sum of its proper divisors (27849272299880).

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

20120112121000 is a wasteful number, since it uses less digits than its factorization.

20120112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379624831 (or 379624817 counting only the distinct ones).

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

Adding to 20120112121000 its reverse (12121102102), we get a palindrome (20132233223102).

The spelling of 20120112121000 in words is "twenty trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 379624757 759249514 1518499028 1898123785 3036998056 3796247570 7592495140 9490618925 15184990280 18981237850 20120112121 37962475700 40240224242 47453094625 75924951400 80480448484 94906189250 100600560605 160960896968 189812378500 201201121210 379624757000 402402242420 503002803025 804804484840 1006005606050 2012011212100 2515014015125 4024022424200 5030028030250 10060056060500 20120112121000