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1221231023124 = 223743367791951
BaseRepresentation
bin10001110001010111000…
…010101001010000010100
311022202012200121211111020
4101301113002221100110
5130002040120214444
62333005323041140
7154142146264440
oct21612702512024
94282180554436
101221231023124
11430a15090aa2
121788239701b0
138b214029698
14431720d7820
1521b78a6e119
hex11c570a9414

1221231023124 has 96 divisors (see below), whose sum is σ = 3333293838336. Its totient is φ = 340712265600.

The previous prime is 1221231023113. The next prime is 1221231023137. The reversal of 1221231023124 is 4213201321221.

It is a junction number, because it is equal to n+sod(n) for n = 1221231023094 and 1221231023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13235349 + ... + 13327299.

It is an arithmetic number, because the mean of its divisors is an integer number (34721810816).

Almost surely, 21221231023124 is an apocalyptic number.

1221231023124 is a gapful number since it is divisible by the number (14) 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 1221231023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666646919168).

1221231023124 is an abundant number, since it is smaller than the sum of its proper divisors (2112062815212).

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

1221231023124 is a wasteful number, since it uses less digits than its factorization.

1221231023124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95685 (or 95683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1221231023124 its reverse (4213201321221), we get a palindrome (5434432344345).

The spelling of 1221231023124 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-one million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 3677 7354 11031 14708 22062 25739 44124 51478 77217 91951 102956 154434 158111 183902 275853 308868 316222 367804 474333 551706 632444 643657 948666 1103412 1106777 1287314 1897332 1930971 2213554 2574628 3320331 3861942 3953893 4427108 6640662 7723884 7907786 11861679 13281324 15815572 23723358 27677251 47446716 55354502 83031753 110709004 166063506 332127012 338103827 676207654 1014311481 1352415308 2028622962 2366726789 4057245924 4733453578 7100180367 9466907156 14200360734 14538464561 28400721468 29076929122 43615393683 58153858244 87230787366 101769251927 174461574732 203538503854 305307755781 407077007708 610615511562 1221231023124