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1221102112 = 251747163293
BaseRepresentation
bin100100011001000…
…1000101000100000
310011002201102012011
41020302020220200
510000100231422
6321100242304
742155124316
oct11062105040
93132642164
101221102112
1157730a0aa
122a0b40394
13165ca2439
14b82640b6
1572308077
hex48c88a20

1221102112 has 96 divisors (see below), whose sum is σ = 2624493312. Its totient is φ = 557051904.

The previous prime is 1221102067. The next prime is 1221102133. The reversal of 1221102112 is 2112011221.

It is a junction number, because it is equal to n+sod(n) for n = 1221102092 and 1221102101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167438 + ... + 4167730.

It is an arithmetic number, because the mean of its divisors is an integer number (27338472).

Almost surely, 21221102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312246656).

1221102112 is an abundant number, since it is smaller than the sum of its proper divisors (1403391200).

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

1221102112 is a wasteful number, since it uses less digits than its factorization.

1221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1221102112 is about 34944.2715190917. The cubic root of 1221102112 is about 1068.8513927174.

Adding to 1221102112 its reverse (2112011221), we get a palindrome (3333113333).

The spelling of 1221102112 in words is "one billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 163 188 272 293 326 376 544 586 652 752 799 1172 1304 1504 1598 2344 2608 2771 3196 4688 4981 5216 5542 6392 7661 9376 9962 11084 12784 13771 15322 19924 22168 25568 27542 30644 39848 44336 47759 55084 61288 79696 88672 95518 110168 122576 130237 159392 191036 220336 234107 245152 260474 382072 440672 468214 520948 764144 811903 936428 1041896 1528288 1623806 1872856 2083792 2244673 3247612 3745712 4167584 4489346 6495224 7491424 8978692 12990448 17957384 25980896 35914768 38159441 71829536 76318882 152637764 305275528 610551056 1221102112