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20220201210000 = 2435411392315619
BaseRepresentation
bin1001001100011111000011…
…11010010001000010010000
32122121000212120212222122010
410212033201322101002100
510122241433002210000
6111001010542142520
74154601302306601
oct446174172210220
978530776788563
1020220201210000
116496380497310
122326988581a40
13b389ab8997bc
144dc93d23dda8
15250e91a6dd50
hex1263e1e91090

20220201210000 has 400 divisors, whose sum is σ = 71230172048640. Its totient is φ = 4900303680000.

The previous prime is 20220201209933. The next prime is 20220201210019. The reversal of 20220201210000 is 1210202202.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1294582191 + ... + 1294597809.

Almost surely, 220220201210000 is an apocalyptic number.

20220201210000 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 20220201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35615086024320).

20220201210000 is an abundant number, since it is smaller than the sum of its proper divisors (51009970838640).

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

20220201210000 is a wasteful number, since it uses less digits than its factorization.

20220201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19584 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20220201210000 its reverse (1210202202), we get a palindrome (20221411412202).

It can be divided in two parts, 202 and 20201210000, that added together give a palindrome (20201210202).

The spelling of 20220201210000 in words is "twenty trillion, two hundred twenty billion, two hundred one million, two hundred ten thousand".