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220121203122000 = 243253173719441901
BaseRepresentation
bin110010000011001011110110…
…000111101001111101010000
31001212101101022010011002211200
4302003023312013221331100
5212322431210444401000
62100054141255111200
764236142421022225
oct6203136607517520
91055341263132750
10220121203122000
1164156972683904
1220830b69672500
1395a9456aa548b
143c4dcccccb94c
151a6acce831500
hexc832f61e9f50

220121203122000 has 480 divisors, whose sum is σ = 836035070536224. Its totient is φ = 53752965120000.

The previous prime is 220121203121933. The next prime is 220121203122013. The reversal of 220121203122000 is 221302121022.

220121203122000 is a `hidden beast` number, since 2 + 20 + 12 + 120 + 312 + 200 + 0 = 666.

220121203122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 68276309650704 + 151844893471296 = 8262948^2 + 12322536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1601050 + ... + 21042950.

Almost surely, 2220121203122000 is an apocalyptic number.

220121203122000 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 220121203122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418017535268112).

220121203122000 is an abundant number, since it is smaller than the sum of its proper divisors (615913867414224).

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

220121203122000 is a wasteful number, since it uses less digits than its factorization.

220121203122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441984 (or 19441965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220121203122000 its reverse (221302121022), we get a palindrome (220342505243022).

The spelling of 220121203122000 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred three million, one hundred twenty-two thousand".