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20240022120000 = 263541131492627
BaseRepresentation
bin1001001101000011111110…
…10101000010011001000000
32122122221000221102112120220
410212201333111002121000
510123103031130320000
6111014045433103040
74156202421255324
oct446417725023100
978587027375526
1020240022120000
1164a3821915371
12232a79a557a80
13b3a81a12b807
144dd89d827984
15251751c111a0
hex12687f542640

20240022120000 has 280 divisors, whose sum is σ = 67510477806816. Its totient is φ = 5349571584000.

The previous prime is 20240022119963. The next prime is 20240022120001. The reversal of 20240022120000 is 2122004202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20240022120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12813687 + ... + 14306313.

Almost surely, 220240022120000 is an apocalyptic number.

20240022120000 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 20240022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33755238903408).

20240022120000 is an abundant number, since it is smaller than the sum of its proper divisors (47270455686816).

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

20240022120000 is a wasteful number, since it uses less digits than its factorization.

20240022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492775 (or 1492750 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20240022120000 its reverse (2122004202), we get a palindrome (20242144124202).

The spelling of 20240022120000 in words is "twenty trillion, two hundred forty billion, twenty-two million, one hundred twenty thousand".