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12213401422240 = 255315009491591
BaseRepresentation
bin1011000110111010011101…
…1101000000100110100000
31121020120220221111120112201
42301232213131000212200
53100101021231002430
641550431551102544
72400250321121254
oct261564735004640
947216827446481
1012213401422240
113989746777977
121453057511a54
136a79462cc4b5
143031bb880264
15162a72b8b8ca
hexb1ba77409a0

12213401422240 has 96 divisors (see below), whose sum is σ = 29790947128320. Its totient is φ = 4726814822400.

The previous prime is 12213401422223. The next prime is 12213401422273. The reversal of 12213401422240 is 4222410431221.

It is a junction number, because it is equal to n+sod(n) for n = 12213401422199 and 12213401422208.

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, 24598845 + ... + 25090435.

It is an arithmetic number, because the mean of its divisors is an integer number (310322365920).

Almost surely, 212213401422240 is an apocalyptic number.

12213401422240 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 12213401422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895473564160).

12213401422240 is an abundant number, since it is smaller than the sum of its proper divisors (17577545706080).

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

12213401422240 is a wasteful number, since it uses less digits than its factorization.

12213401422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496646 (or 496638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12213401422240 its reverse (4222410431221), we get a palindrome (16435811853461).

The spelling of 12213401422240 in words is "twelve trillion, two hundred thirteen billion, four hundred one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 5009 10018 20036 25045 40072 50090 80144 100180 155279 160288 200360 310558 400720 491591 621116 776395 801440 983182 1242232 1552790 1966364 2457955 2484464 3105580 3932728 4915910 4968928 6211160 7865456 9831820 12422320 15239321 15730912 19663640 24844640 30478642 39327280 60957284 76196605 78654560 121914568 152393210 243829136 304786420 487658272 609572840 1219145680 2438291360 2462379319 4924758638 9849517276 12311896595 19699034552 24623793190 39398069104 49247586380 76333758889 78796138208 98495172760 152667517778 196990345520 305335035556 381668794445 393980691040 610670071112 763337588890 1221340142224 1526675177780 2442680284448 3053350355560 6106700711120 12213401422240