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1221111110120 = 2351161423110753
BaseRepresentation
bin10001110001001111111…
…001001101100111101000
311022201220022222121202212
4101301033321031213220
5130001313421010440
62332545400544252
7154136162115026
oct21611771154750
94281808877685
101221111110120
11430963429640
121787ab782088
138b1c5233245
1443160201716
1521b6d284465
hex11c4fe4d9e8

1221111110120 has 128 divisors (see below), whose sum is σ = 3047411738880. Its totient is φ = 436617216000.

The previous prime is 1221111110071. The next prime is 1221111110123. The reversal of 1221111110120 is 210111111221.

It is a super-2 number, since 2×12211111101202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221111110095 and 1221111110104.

It is not an unprimeable number, because it can be changed into a prime (1221111110123) 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, 113554664 + ... + 113565416.

It is an arithmetic number, because the mean of its divisors is an integer number (23807904210).

Almost surely, 21221111110120 is an apocalyptic number.

1221111110120 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 1221111110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523705869440).

1221111110120 is an abundant number, since it is smaller than the sum of its proper divisors (1826300628760).

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

1221111110120 is a wasteful number, since it uses less digits than its factorization.

1221111110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15067 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1221111110120 its reverse (210111111221), we get a palindrome (1431222221341).

The spelling of 1221111110120 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 4231 5368 6710 8462 10753 13420 16924 21155 21506 26840 33848 42310 43012 46541 53765 84620 86024 93082 107530 118283 169240 186164 215060 232705 236566 258091 372328 430120 465410 473132 516182 591415 655933 930820 946264 1032364 1182830 1290455 1311866 1861640 2064728 2365660 2580910 2623732 2839001 3279665 4731320 5161820 5247464 5678002 6559330 7215263 10323640 11356004 13118660 14195005 14430526 22712008 26237320 28390010 28861052 36076315 45495943 56780020 57722104 72152630 90991886 113560040 144305260 181983772 227479715 288610520 363967544 454959430 500455373 909918860 1000910746 1819837720 2001821492 2502276865 2775252523 4003642984 5004553730 5550505046 10009107460 11101010092 13876262615 20018214920 22202020184 27752525230 30527777753 55505050460 61055555506 111010100920 122111111012 152638888765 244222222024 305277777530 610555555060 1221111110120