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1200021222120 = 233572711526963
BaseRepresentation
bin10001011101100110110…
…101101011001011101000
311020201110112122022020220
4101131212311223023220
5124130120413101440
62315140535250040
7152461434042060
oct21354665531350
94221415568226
101200021222120
11422a20771636
121746a4819920
1389213b08486
144211d2903a0
15213369cd8d0
hex11766d6b2e8

1200021222120 has 128 divisors (see below), whose sum is σ = 4115883939840. Its totient is φ = 274188867840.

The previous prime is 1200021222097. The next prime is 1200021222149. The reversal of 1200021222120 is 212221200021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1200021222120.

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, 2013759 + ... + 2540721.

It is an arithmetic number, because the mean of its divisors is an integer number (32155343280).

Almost surely, 21200021222120 is an apocalyptic number.

1200021222120 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 1200021222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057941969920).

1200021222120 is an abundant number, since it is smaller than the sum of its proper divisors (2915862717720).

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

1200021222120 is a wasteful number, since it uses less digits than its factorization.

1200021222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529695 (or 529691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1200021222120 its reverse (212221200021), we get a palindrome (1412242422141).

It can be divided in two parts, 1200021 and 222120, that added together give a triangular number (1422141 = T1686).

The spelling of 1200021222120 in words is "one trillion, two hundred billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2711 5422 8133 10844 13555 16266 18977 21688 27110 32532 37954 40665 54220 56931 65064 75908 81330 94885 108440 113862 151816 162660 189770 227724 284655 325320 379540 455448 526963 569310 759080 1053926 1138620 1580889 2107852 2277240 2634815 3161778 3688741 4215704 5269630 6323556 7377482 7904445 10539260 11066223 12647112 14754964 15808890 18443705 21078520 22132446 29509928 31617780 36887410 44264892 55331115 63235560 73774820 88529784 110662230 147549640 221324460 442648920 1428596693 2857193386 4285790079 5714386772 7142983465 8571580158 10000176851 11428773544 14285966930 17143160316 20000353702 21428950395 28571933860 30000530553 34286320632 40000707404 42857900790 50000884255 57143867720 60001061106 80001414808 85715801580 100001768510 120002122212 150002652765 171431603160 200003537020 240004244424 300005305530 400007074040 600010611060 1200021222120