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1221233211320 = 235312099469207
BaseRepresentation
bin10001110001010111001…
…010111111011110111000
311022202012211202000010112
4101301113022333132320
5130002041200230240
62333005442003452
7154142204010143
oct21612712773670
94282184660115
101221233211320
11430a16346021
12178824646588
138b214614685
144317250705a
1521b78d52665
hex11c572bf7b8

1221233211320 has 64 divisors (see below), whose sum is σ = 2837769984000. Its totient is φ = 472509210240.

The previous prime is 1221233211307. The next prime is 1221233211371. The reversal of 1221233211320 is 231123321221.

It is a super-2 number, since 2×12212332113202 (a number of 25 digits) contains 22 as substring.

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, 2368157 + ... + 2837363.

It is an arithmetic number, because the mean of its divisors is an integer number (44340156000).

Almost surely, 21221233211320 is an apocalyptic number.

1221233211320 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 1221233211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418884992000).

1221233211320 is an abundant number, since it is smaller than the sum of its proper divisors (1616536772680).

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

1221233211320 is a wasteful number, since it uses less digits than its factorization.

1221233211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471348 (or 471344 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1221233211320 its reverse (231123321221), we get a palindrome (1452356532541).

The spelling of 1221233211320 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2099 4198 8396 10495 16792 20990 41980 65069 83960 130138 260276 325345 469207 520552 650690 938414 1301380 1876828 2346035 2602760 3753656 4692070 9384140 14545417 18768280 29090834 58181668 72727085 116363336 145454170 290908340 581816680 984865493 1969730986 3939461972 4924327465 7878923944 9848654930 19697309860 30530830283 39394619720 61061660566 122123321132 152654151415 244246642264 305308302830 610616605660 1221233211320