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1220012123424 = 25371856320903
BaseRepresentation
bin10001110000001110011…
…000111010010100100000
311022122001202001022102220
4101300032120322110200
5124442041100422144
62332244341511040
7154100015642133
oct21601630722440
94278052038386
101220012123424
1143044a046676
12178543712480
138b07b648863
144309828821a
1521b06a4d919
hex11c0e63a520

1220012123424 has 96 divisors (see below), whose sum is σ = 3248172555264. Its totient is φ = 400876949760.

The previous prime is 1220012123423. The next prime is 1220012123431. The reversal of 1220012123424 is 4243212100221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1220012123394 and 1220012123403.

It is not an unprimeable number, because it can be changed into a prime (1220012123423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58354957 + ... + 58375859.

It is an arithmetic number, because the mean of its divisors is an integer number (33835130784).

Almost surely, 21220012123424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220012123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624086277632).

1220012123424 is an abundant number, since it is smaller than the sum of its proper divisors (2028160431840).

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

1220012123424 is a wasteful number, since it uses less digits than its factorization.

1220012123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29550 (or 29542 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1220012123424 its reverse (4243212100221), we get a palindrome (5463224223645).

The spelling of 1220012123424 in words is "one trillion, two hundred twenty billion, twelve million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 8563 17126 20903 25689 34252 41806 51378 62709 68504 83612 102756 125418 137008 167224 205512 250836 274016 334448 411024 501672 607973 668896 822048 1003344 1215946 1484113 1823919 2006688 2431892 2968226 3647838 4452339 4863784 5936452 7295676 8904678 9727568 11872904 14591352 17809356 19455136 23745808 29182704 35618712 47491616 58365408 71237424 142474848 178992389 357984778 536977167 715969556 1073954334 1431939112 2147908668 2863878224 4295817336 5727756448 8591634672 12708459619 17183269344 25416919238 38125378857 50833838476 76250757714 101667676952 152501515428 203335353904 305003030856 406670707808 610006061712 1220012123424