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1330222131120 = 243589161338609
BaseRepresentation
bin10011010110110111011…
…010101110011110110000
311201011112110121210012210
4103112313122232132300
5133243243331143440
62455032352452120
7165051100361001
oct23266732563660
94634473553183
101330222131120
11473164794663
1219598084a040
13985934c4c6c
14485512d71a8
15249072caa80
hex135b76ae7b0

1330222131120 has 160 divisors (see below), whose sum is σ = 4172715518400. Its totient is φ = 350513692672.

The previous prime is 1330222130933. The next prime is 1330222131151. The reversal of 1330222131120 is 211312220331.

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, 34434376 + ... + 34472984.

It is an arithmetic number, because the mean of its divisors is an integer number (26079471990).

Almost surely, 21330222131120 is an apocalyptic number.

1330222131120 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 1330222131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086357759200).

1330222131120 is an abundant number, since it is smaller than the sum of its proper divisors (2842493387280).

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

1330222131120 is a wasteful number, since it uses less digits than its factorization.

1330222131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40327 (or 40321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1330222131120 its reverse (211312220331), we get a palindrome (1541534351451).

The spelling of 1330222131120 in words is "one trillion, three hundred thirty billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1613 1780 2136 2670 3226 3560 4272 4839 5340 6452 7120 8065 9678 10680 12904 16130 19356 21360 24195 25808 32260 38609 38712 48390 64520 77218 77424 96780 115827 129040 143557 154436 193045 193560 231654 287114 308872 386090 387120 430671 463308 574228 579135 617744 717785 772180 861342 926616 1148456 1158270 1435570 1544360 1722684 1853232 2153355 2296912 2316540 2871140 3088720 3436201 3445368 4306710 4633080 5742280 6872402 6890736 8613420 9266160 10308603 11484560 13744804 17181005 17226840 20617206 27489608 34362010 34453680 41234412 51543015 54979216 62276317 68724020 82468824 103086030 124552634 137448040 164937648 186828951 206172060 249105268 274896080 311381585 373657902 412344120 498210536 622763170 747315804 824688240 934144755 996421072 1245526340 1494631608 1868289510 2491052680 2989263216 3736579020 4982105360 5542592213 7473158040 11085184426 14946316080 16627776639 22170368852 27712961065 33255553278 44340737704 55425922130 66511106556 83138883195 88681475408 110851844260 133022213112 166277766390 221703688520 266044426224 332555532780 443407377040 665111065560 1330222131120