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20220121021200 = 24352173792615257
BaseRepresentation
bin1001001100011110111010…
…01000010111101100010000
32122121000122222222222021120
410212033131020113230100
510122241301440134300
6111000554555322240
74154566306566162
oct446173510275420
978530588888246
1020220121021200
11649633a1a7281
122326965750380
13b389980a14c9
144dc932728932
15250e899ce3a0
hex1263dd217b10

20220121021200 has 240 divisors, whose sum is σ = 68762873983680. Its totient is φ = 5061461852160.

The previous prime is 20220121021189. The next prime is 20220121021201. The reversal of 20220121021200 is 212012102202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×202201210212002 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20220121021200.

It is not an unprimeable number, because it can be changed into a prime (20220121021201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6423972 + ... + 9039228.

It is an arithmetic number, because the mean of its divisors is an integer number (286511974932).

Almost surely, 220220121021200 is an apocalyptic number.

20220121021200 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 20220121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34381436991840).

20220121021200 is an abundant number, since it is smaller than the sum of its proper divisors (48542752962480).

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

20220121021200 is a wasteful number, since it uses less digits than its factorization.

20220121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615674 (or 2615663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20220121021200 its reverse (212012102202), we get a palindrome (20432133123402).

The spelling of 20220121021200 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred".