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1321021223112 = 233419750927191
BaseRepresentation
bin10011001110010011000…
…000000011000011001000
311200021210020111020020010
4103032103000003003020
5133120422413114422
62450511353231520
7164304065061213
oct23162300030310
94607706436203
101321021223112
1146a273050258
121940334025a0
13977582302b6
1447d1b34477a
1524569665b0c
hex133930030c8

1321021223112 has 128 divisors (see below), whose sum is σ = 3424821523200. Its totient is φ = 424320614400.

The previous prime is 1321021223087. The next prime is 1321021223117. The reversal of 1321021223112 is 2113221201231.

It is not an unprimeable number, because it can be changed into a prime (1321021223117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48569437 + ... + 48596627.

It is an arithmetic number, because the mean of its divisors is an integer number (26756418150).

Almost surely, 21321021223112 is an apocalyptic number.

1321021223112 is a gapful number since it is divisible by the number (12) 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 1321021223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712410761600).

1321021223112 is an abundant number, since it is smaller than the sum of its proper divisors (2103800300088).

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

1321021223112 is a wasteful number, since it uses less digits than its factorization.

1321021223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27847 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1321021223112 its reverse (2113221201231), we get a palindrome (3434242424343).

The spelling of 1321021223112 in words is "one trillion, three hundred twenty-one billion, twenty-one million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 97 123 164 194 246 291 328 388 492 509 582 776 984 1018 1164 1527 2036 2328 3054 3977 4072 6108 7954 11931 12216 15908 20869 23862 27191 31816 41738 47724 49373 54382 62607 81573 83476 95448 98746 108764 125214 148119 163146 166952 197492 217528 250428 296238 326292 394984 500856 592476 652584 1114831 1184952 2024293 2229662 2637527 3344493 4048586 4459324 5275054 6072879 6688986 7912581 8097172 8918648 10550108 12145758 13377972 13840219 15825162 16194344 21100216 24291516 26755944 27680438 31650324 41520657 48583032 55360876 63300648 83041314 108138607 110721752 166082628 216277214 324415821 332165256 432554428 567448979 648831642 865108856 1134897958 1297663284 1342501243 1702346937 2269795916 2595326568 2685002486 3404693874 4027503729 4539591832 5370004972 6809387748 8055007458 10740009944 13618775496 16110014916 32220029832 55042550963 110085101926 165127652889 220170203852 330255305778 440340407704 660510611556 1321021223112