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1221111110112 = 253371259273059
BaseRepresentation
bin10001110001001111111…
…001001101100111100000
311022201220022222121202120
4101301033321031213200
5130001313421010422
62332545400544240
7154136162115015
oct21611771154740
94281808877676
101221111110112
11430963429633
121787ab782080
138b1c523323a
144316020170c
1521b6d28445c
hex11c4fe4d9e0

1221111110112 has 96 divisors (see below), whose sum is σ = 3294676425600. Its totient is φ = 395720022528.

The previous prime is 1221111110071. The next prime is 1221111110123. The reversal of 1221111110112 is 2110111111221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12211111101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221111110091 and 1221111110100.

It is a congruent number.

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, 4335439 + ... + 4608497.

It is an arithmetic number, because the mean of its divisors is an integer number (34319546100).

Almost surely, 21221111110112 is an apocalyptic number.

1221111110112 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 1221111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647338212800).

1221111110112 is an abundant number, since it is smaller than the sum of its proper divisors (2073565315488).

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

1221111110112 is a wasteful number, since it uses less digits than its factorization.

1221111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274368 (or 274360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1221111110112 its reverse (2110111111221), we get a palindrome (3331222221333).

The spelling of 1221111110112 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1259 1776 2518 3552 3777 5036 7554 10072 15108 20144 30216 40288 46583 60432 93166 120864 139749 186332 273059 279498 372664 546118 558996 745328 819177 1092236 1117992 1490656 1638354 2184472 2235984 3276708 4368944 4471968 6553416 8737888 10103183 13106832 20206366 26213664 30309549 40412732 60619098 80825464 121238196 161650928 242476392 323301856 343781281 484952784 687562562 969905568 1031343843 1375125124 2062687686 2750250248 4125375372 5500500496 8250750744 11001000992 12719907397 16501501488 25439814794 33003002976 38159722191 50879629588 76319444382 101759259176 152638888764 203518518352 305277777528 407037036704 610555555056 1221111110112