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2020123012000 = 2553769656737
BaseRepresentation
bin11101011001011000101…
…101101110101110100000
321011010021211211202221211
4131121120231232232200
5231044202442341000
64144010502555504
7265643350166362
oct35313055565640
97133254752854
102020123012000
11709802859615
1228761b138b94
1311865c57bb72
146dabb236d32
15378349467ba
hex1d658b6eba0

2020123012000 has 96 divisors (see below), whose sum is σ = 4969904219280. Its totient is φ = 806997196800.

The previous prime is 2020123011997. The next prime is 2020123012009. The reversal of 2020123012000 is 2103210202.

It can be written as a sum of positive squares in 8 ways, for example, as 51074192016 + 1969048819984 = 225996^2 + 1403228^2 .

It is a super-2 number, since 2×20201230120002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2020123012009) 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, 2747632 + ... + 3404368.

Almost surely, 22020123012000 is an apocalyptic number.

2020123012000 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 2020123012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484952109640).

2020123012000 is an abundant number, since it is smaller than the sum of its proper divisors (2949781207280).

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

2020123012000 is an equidigital number, since it uses as much as digits as its factorization.

2020123012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657531 (or 657513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2020123012000 its reverse (2103210202), we get a palindrome (2022226222202).

The spelling of 2020123012000 in words is "two trillion, twenty billion, one hundred twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 769 800 1000 1538 2000 3076 3845 4000 6152 7690 12304 15380 19225 24608 30760 38450 61520 76900 96125 123040 153800 192250 307600 384500 615200 656737 769000 1313474 1538000 2626948 3076000 3283685 5253896 6567370 10507792 13134740 16418425 21015584 26269480 32836850 52538960 65673700 82092125 105077920 131347400 164184250 262694800 328368500 505030753 525389600 656737000 1010061506 1313474000 2020123012 2525153765 2626948000 4040246024 5050307530 8080492048 10100615060 12625768825 16160984096 20201230120 25251537650 40402460240 50503075300 63128844125 80804920480 101006150600 126257688250 202012301200 252515376500 404024602400 505030753000 1010061506000 2020123012000