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202001122021120 = 2851011562508679
BaseRepresentation
bin101101111011100000001101…
…000111110100111100000000
3222111020010012111202111011021
4231323200031013310330000
5202434041244214133440
61553342011231155224
760356046053663302
oct5573401507647400
9874203174674137
10202001122021120
115940021624a214
121a7a5207075b14
138893816114276
1437c4c99505972
1518547a580284a
hexb7b80d1f4f00

202001122021120 has 72 divisors (see below), whose sum is σ = 488646464513760. Its totient is φ = 80000444313600.

The previous prime is 202001122021099. The next prime is 202001122021141. The reversal of 202001122021120 is 21120221100202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202001122021099) and next prime (202001122021141).

It is a super-2 number, since 2×2020011220211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202001122021094 and 202001122021103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781125060 + ... + 781383619.

It is an arithmetic number, because the mean of its divisors is an integer number (6786756451580).

Almost surely, 2202001122021120 is an apocalyptic number.

202001122021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001122021120 is an abundant number, since it is smaller than the sum of its proper divisors (286645342492640).

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

202001122021120 is a wasteful number, since it uses less digits than its factorization.

202001122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562508801 (or 1562508787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202001122021120 its reverse (21120221100202), we get a palindrome (223121343121322).

The spelling of 202001122021120 in words is "two hundred two trillion, one billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 16160 25856 32320 64640 129280 1562508679 3125017358 6250034716 7812543395 12500069432 15625086790 25000138864 31250173580 50000277728 62500347160 100000555456 125000694320 157813376579 200001110912 250001388640 315626753158 400002221824 500002777280 631253506316 789066882895 1000005554560 1262507012632 1578133765790 2000011109120 2525014025264 3156267531580 5050028050528 6312535063160 10100056101056 12625070126320 20200112202112 25250140252640 40400224404224 50500280505280 101000561010560 202001122021120