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1222001101100 = 2252131031911737
BaseRepresentation
bin10001110010000100111…
…100010000100100101100
311022211012100122211212202
4101302010330100210230
5130010124240213400
62333213552321032
7154200216655643
oct21620474204454
94284170584782
101222001101100
1143127a844a7a
121789b9843178
138b307733c20
14432064b435a
1521bc14854d5
hex11c84f1092c

1222001101100 has 72 divisors (see below), whose sum is σ = 2858495565408. Its totient is φ = 450762278400.

The previous prime is 1222001101081. The next prime is 1222001101109. The reversal of 1222001101100 is 11011002221.

It is a super-2 number, since 2×12220011011002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1222001101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884432 + ... + 1796168.

Almost surely, 21222001101100 is an apocalyptic number.

1222001101100 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 1222001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429247782704).

1222001101100 is an abundant number, since it is smaller than the sum of its proper divisors (1636494464308).

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

1222001101100 is a wasteful number, since it uses less digits than its factorization.

1222001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912795 (or 912788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1222001101100 its reverse (11011002221), we get a palindrome (1233012103321).

The spelling of 1222001101100 in words is "one trillion, two hundred twenty-two billion, one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1031 1300 2062 4124 5155 10310 13403 20620 25775 26806 51550 53612 67015 103100 134030 268060 335075 670150 911737 1340300 1823474 3646948 4558685 9117370 11852581 18234740 22793425 23705162 45586850 47410324 59262905 91173700 118525810 237051620 296314525 592629050 940000847 1185258100 1880001694 3760003388 4700004235 9400008470 12220011011 18800016940 23500021175 24440022022 47000042350 48880044044 61100055055 94000084700 122200110110 244400220220 305500275275 611000550550 1222001101100