Search a number
-
+
120212021221020 = 2234574204951371
BaseRepresentation
bin11011010101010100001010…
…110100101001011010011100
3120202122011020110010000120000
4123111110022310221122130
5111224023204413033040
61103400350135254300
734215013643630601
oct3325241264513234
9522564213100500
10120212021221020
11353376a5070713
1211595a8a81a390
13520cc39100781
1421984158d46a8
15dd6ecd13d130
hex6d550ad2969c

120212021221020 has 60 divisors (see below), whose sum is σ = 377109562872504. Its totient is φ = 32056538991840.

The previous prime is 120212021221013. The next prime is 120212021221043. The reversal of 120212021221020 is 20122120212021.

It is a happy number.

120212021221020 is a `hidden beast` number, since 1 + 202 + 1 + 20 + 212 + 210 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 120212021220984 and 120212021221002.

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 19 ways as a sum of consecutive naturals, for example, 37102474066 + ... + 37102477305.

Almost surely, 2120212021221020 is an apocalyptic number.

120212021221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212021221020 is an abundant number, since it is smaller than the sum of its proper divisors (256897541651484).

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

120212021221020 is a wasteful number, since it uses less digits than its factorization.

120212021221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74204951392 (or 74204951381 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212021221020 its reverse (20122120212021), we get a palindrome (140334141433041).

The spelling of 120212021221020 in words is "one hundred twenty trillion, two hundred twelve billion, twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 74204951371 148409902742 222614854113 296819805484 371024756855 445229708226 667844562339 742049513710 890459416452 1113074270565 1335689124678 1484099027420 2003533687017 2226148541130 2671378249356 3339222811695 4007067374034 4452297082260 6010601061051 6678445623390 8014134748068 10017668435085 12021202122102 13356891246780 20035336870170 24042404244204 30053005305255 40070673740340 60106010610510 120212021221020