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20210124121224 = 23361101223691887
BaseRepresentation
bin1001001100001100010010…
…10001001110010010001000
32122120001212022001211120220
410212012021101032102020
510122110313233334344
6110552223003150040
74154063500415202
oct446061121162210
978501768054526
1020210124121224
11649207a20a374
122324a35815320
13b37a63c2b08b
144dc264b71772
15250aa2034c19
hex12618944e488

20210124121224 has 256 divisors, whose sum is σ = 52228817141760. Its totient is φ = 6514439040000.

The previous prime is 20210124121063. The next prime is 20210124121247. The reversal of 20210124121224 is 42212142101202.

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 = 20210124121194 and 20210124121203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22784806909 + ... + 22784807795.

It is an arithmetic number, because the mean of its divisors is an integer number (204018816960).

Almost surely, 220210124121224 is an apocalyptic number.

20210124121224 is a gapful number since it is divisible by the number (24) 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 20210124121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114408570880).

20210124121224 is an abundant number, since it is smaller than the sum of its proper divisors (32018693020536).

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

20210124121224 is a wasteful number, since it uses less digits than its factorization.

20210124121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 20210124121224 its reverse (42212142101202), we get a palindrome (62422266222426).

The spelling of 20210124121224 in words is "twenty trillion, two hundred ten billion, one hundred twenty-four million, one hundred twenty-one thousand, two hundred twenty-four".