Search a number
-
+
1121221320132 = 223198375178893
BaseRepresentation
bin10000010100001101111…
…111111001110111000100
310222012001211201112020110
4100110031333321313010
5121332230124221012
62215025412033020
7144001623654354
oct20241577716704
93865054645213
101121221320132
113a25642289a1
12161372902770
1381966500634
143c3a5a6cb64
151e273a6973c
hex1050dff9dc4

1121221320132 has 96 divisors (see below), whose sum is σ = 2790802667520. Its totient is φ = 349333776000.

The previous prime is 1121221320097. The next prime is 1121221320133. The reversal of 1121221320132 is 2310231221211.

It is a junction number, because it is equal to n+sod(n) for n = 1121221320099 and 1121221320108.

It is not an unprimeable number, because it can be changed into a prime (1121221320133) 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, 14172478 + ... + 14251370.

It is an arithmetic number, because the mean of its divisors is an integer number (29070861120).

Almost surely, 21121221320132 is an apocalyptic number.

1121221320132 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 1121221320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395401333760).

1121221320132 is an abundant number, since it is smaller than the sum of its proper divisors (1669581347388).

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

1121221320132 is a wasteful number, since it uses less digits than its factorization.

1121221320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79753 (or 79751 counting only the distinct ones).

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

Adding to 1121221320132 its reverse (2310231221211), we get a palindrome (3431452541343).

The spelling of 1121221320132 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 751 996 1502 1577 2253 3004 3154 4506 4731 6308 9012 9462 14269 18924 28538 42807 57076 62333 78893 85614 124666 157786 171228 186999 236679 249332 315572 373998 473358 747996 946716 1184327 1498967 2368654 2997934 3552981 4496901 4737308 5995868 6548119 7105962 8993802 13096238 14211924 17987604 19644357 26192476 39288714 59248643 78577428 118497286 124414261 177745929 236994572 248828522 355491858 373242783 497657044 710983716 746485566 1125724217 1492971132 2251448434 3377172651 4502896868 4917637369 6754345302 9835274738 13508690604 14752912107 19670549476 29505824214 59011648428 93435110011 186870220022 280305330033 373740440044 560610660066 1121221320132