Search a number
-
+
20010123120000 = 273541371103877
BaseRepresentation
bin1001000110010111110000…
…10001111100110110000000
32121211221121212220021200010
410203023320101330312000
510110321213004320000
6110320305035424520
74133453335101156
oct443137021746600
977757555807603
1020010123120000
116415277924a12
1222b21198b5140
13b21c3c64b280
144d26d08ad3d6
1524a798963d50
hex1232f847cd80

20010123120000 has 1280 divisors, whose sum is σ = 73322893163520. Its totient is φ = 4803563520000.

The previous prime is 20010123119969. The next prime is 20010123120049. The reversal of 20010123120000 is 2132101002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22816559562 + ... + 22816560438.

It is an arithmetic number, because the mean of its divisors is an integer number (57283510284).

Almost surely, 220010123120000 is an apocalyptic number.

20010123120000 is a gapful number since it is divisible by the number (20) 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 20010123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36661446581760).

20010123120000 is an abundant number, since it is smaller than the sum of its proper divisors (53312770043520).

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

20010123120000 is a wasteful number, since it uses less digits than its factorization.

20010123120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20010123120000 its reverse (2132101002), we get a palindrome (20012255221002).

The spelling of 20010123120000 in words is "twenty trillion, ten billion, one hundred twenty-three million, one hundred twenty thousand".