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1222012012100 = 22521114921533463
BaseRepresentation
bin10001110010000101100…
…101111000011001000100
311022211020010012011221212
4101302011211320121010
5130010140033341400
62333215022230552
7154200411501305
oct21620545703104
94284203164855
101222012012100
11431285a17630
12178a01425458
138b309a84339
1443207b147ac
1521bc23dd335
hex11c85978644

1222012012100 has 144 divisors (see below), whose sum is σ = 2914444713600. Its totient is φ = 441053260800.

The previous prime is 1222012012097. The next prime is 1222012012103. The reversal of 1222012012100 is 12102102221.

It is an interprime number because it is at equal distance from previous prime (1222012012097) and next prime (1222012012103).

It is not an unprimeable number, because it can be changed into a prime (1222012012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352874969 + ... + 352878431.

It is an arithmetic number, because the mean of its divisors is an integer number (20239199400).

Almost surely, 21222012012100 is an apocalyptic number.

1222012012100 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 1222012012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457222356800).

1222012012100 is an abundant number, since it is smaller than the sum of its proper divisors (1692432701500).

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

1222012012100 is a wasteful number, since it uses less digits than its factorization.

1222012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222012012100 its reverse (12102102221), we get a palindrome (1234114114321).

The spelling of 1222012012100 in words is "one trillion, two hundred twenty-two billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 2153 2980 3278 3463 3725 4306 6556 6926 7450 8195 8612 10765 13852 14900 16390 17315 21530 23683 32780 34630 38093 40975 43060 47366 53825 69260 76186 81950 86575 94732 107650 118415 152372 163900 173150 190465 215300 236830 320797 346300 380930 473660 515987 592075 641594 761860 952325 1031974 1184150 1283188 1603985 1904650 2063948 2368300 2579935 3207970 3528767 3809300 5159870 5675857 6415940 7057534 7455839 8019925 10319740 11351714 12899675 14115068 14911678 16039850 17643835 22703428 25799350 28379285 29823356 32079700 35287670 37279195 51598700 56758570 70575340 74558390 82014229 88219175 113517140 141896425 149116780 164028458 176438350 186395975 283792850 328056916 352876700 372791950 410071145 567585700 745583900 820142290 1110920011 1640284580 2050355725 2221840022 4100711450 4443680044 5554600055 8201422900 11109200110 12220120121 22218400220 24440240242 27773000275 48880480484 55546000550 61100600605 111092001100 122201201210 244402402420 305503003025 611006006050 1222012012100