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12030134020000 = 25542572340493
BaseRepresentation
bin1010111100001111101111…
…0111010110011110100000
31120121001212201112221001021
42233003323313112132200
53034100203302120000
641330322310415224
72351101635654145
oct257037367263640
946531781487037
1012030134020000
113918a51036068
12142362b661514
1369358a77a155
142d8393b523cc
1515cde86be11a
hexaf0fbdd67a0

12030134020000 has 120 divisors (see below), whose sum is σ = 29711106180756. Its totient is φ = 4793327616000.

The previous prime is 12030134019977. The next prime is 12030134020033. The reversal of 12030134020000 is 2043103021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1115330312464 + 10914803707536 = 1056092^2 + 3303756^2 .

It is a super-2 number, since 2×120301340200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3969754 + ... + 6310246.

Almost surely, 212030134020000 is an apocalyptic number.

12030134020000 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 12030134020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855553090378).

12030134020000 is an abundant number, since it is smaller than the sum of its proper divisors (17680972160756).

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

12030134020000 is an equidigital number, since it uses as much as digits as its factorization.

12030134020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340780 (or 2340757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12030134020000 its reverse (2043103021), we get a palindrome (12032177123021).

The spelling of 12030134020000 in words is "twelve trillion, thirty billion, one hundred thirty-four million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 4000 4112 5000 5140 6425 8224 10000 10280 12850 20000 20560 25700 32125 41120 51400 64250 102800 128500 160625 205600 257000 321250 514000 642500 1028000 1285000 2340493 2570000 4680986 5140000 9361972 11702465 18723944 23404930 37447888 46809860 58512325 74895776 93619720 117024650 187239440 234049300 292561625 374478880 468098600 585123250 601506701 936197200 1170246500 1203013402 1462808125 1872394400 2340493000 2406026804 2925616250 3007533505 4680986000 4812053608 5851232500 6015067010 9361972000 9624107216 11702465000 12030134020 15037667525 19248214432 23404930000 24060268040 30075335050 46809860000 48120536080 60150670100 75188337625 96241072160 120301340200 150376675250 240602680400 300753350500 375941688125 481205360800 601506701000 751883376250 1203013402000 1503766752500 2406026804000 3007533505000 6015067010000 12030134020000