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1222310000000 = 2757122231
BaseRepresentation
bin10001110010010111010…
…110100111010110000000
311022211222212220112111202
4101302113112213112000
5130011242330000000
62333304345200332
7154210660400555
oct21622726472600
94284885815452
101222310000000
11431419147321
12178a851900a8
138b35672933b
1443235522a2c
1521bdd650dd5
hex11c975a7580

1222310000000 has 128 divisors (see below), whose sum is σ = 3043855488960. Its totient is φ = 488920000000.

The previous prime is 1222309999949. The next prime is 1222310000047. The reversal of 1222310000000 is 132221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12223100000002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9938885 + ... + 10061115.

Almost surely, 21222310000000 is an apocalyptic number.

1222310000000 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 1222310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521927744480).

1222310000000 is an abundant number, since it is smaller than the sum of its proper divisors (1821545488960).

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

1222310000000 is an frugal number, since it uses more digits than its factorization.

1222310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122280 (or 122238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1222310000000 its reverse (132221), we get a palindrome (1222310132221).

The spelling of 1222310000000 in words is "one trillion, two hundred twenty-two billion, three hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 122231 125000 156250 200000 244462 250000 312500 400000 488924 500000 611155 625000 977848 1000000 1222310 1250000 1955696 2000000 2444620 2500000 3055775 3911392 4889240 5000000 6111550 7822784 9778480 10000000 12223100 15278875 15645568 19556960 24446200 30557750 39113920 48892400 61115500 76394375 78227840 97784800 122231000 152788750 195569600 244462000 305577500 381971875 391139200 488924000 611155000 763943750 977848000 1222310000 1527887500 1909859375 1955696000 2444620000 3055775000 3819718750 4889240000 6111550000 7639437500 9549296875 9778480000 12223100000 15278875000 19098593750 24446200000 30557750000 38197187500 48892400000 61115500000 76394375000 122231000000 152788750000 244462000000 305577500000 611155000000 1222310000000