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1222101011112 = 2331997131210911
BaseRepresentation
bin10001110010001010111…
…001011000101010101000
311022211110022122210122120
4101302022321120222220
5130010330324323422
62333231521551240
7154202542124532
oct21621271305250
94284408583576
101222101011112
11431321184933
12178a271a5520
138b322345787
1443215880852
1521bca11d45c
hex11c8ae58aa8

1222101011112 has 128 divisors (see below), whose sum is σ = 3274029158400. Its totient is φ = 379030579200.

The previous prime is 1222101011099. The next prime is 1222101011147. The reversal of 1222101011112 is 2111101012221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1222101011091 and 1222101011100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5688937 + ... + 5899847.

It is an arithmetic number, because the mean of its divisors is an integer number (25578352800).

Almost surely, 21222101011112 is an apocalyptic number.

1222101011112 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 1222101011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637014579200).

1222101011112 is an abundant number, since it is smaller than the sum of its proper divisors (2051928147288).

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

1222101011112 is a wasteful number, since it uses less digits than its factorization.

1222101011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211167 (or 211163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1222101011112 its reverse (2111101012221), we get a palindrome (3333202023333).

The spelling of 1222101011112 in words is "one trillion, two hundred twenty-two billion, one hundred one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 131 152 194 228 262 291 388 393 456 524 582 776 786 1048 1164 1572 1843 2328 2489 3144 3686 4978 5529 7372 7467 9956 11058 12707 14744 14934 19912 22116 25414 29868 38121 44232 50828 59736 76242 101656 152484 210911 241433 304968 421822 482866 632733 724299 843644 965732 1265466 1448598 1687288 1931464 2530932 2897196 4007309 5061864 5794392 8014618 12021927 16029236 20458367 24043854 27629341 32058472 40916734 48087708 55258682 61375101 81833468 82888023 96175416 110517364 122750202 163666936 165776046 221034728 245500404 331552092 388708973 491000808 524957479 663104184 777417946 1049914958 1166126919 1554835892 1574872437 2099829916 2332253838 2680046077 3109671784 3149744874 4199659832 4664507676 5360092154 6299489748 8040138231 9329015352 10720184308 12598979496 16080276462 21440368616 32160552924 50920875463 64321105848 101841750926 152762626389 203683501852 305525252778 407367003704 611050505556 1222101011112