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20122120100020 = 2254992016244499
BaseRepresentation
bin1001001001101000010111…
…10100100001100010110100
32122020122201010222100122011
410210310023310201202310
510114140100221200040
6110443550243414004
74144526615524621
oct444641364414264
978218633870564
1020122120100020
11645881a239734
12230b975384304
13b2c67a7a5a53
144d7cb6da3348
1524d6510243ea
hex124d0bd218b4

20122120100020 has 24 divisors (see below), whose sum is σ = 42341134500000. Its totient is φ = 8032718080032.

The previous prime is 20122120099973. The next prime is 20122120100021. The reversal of 20122120100020 is 2000102122102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122120100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008112270 + ... + 1008132229.

It is an arithmetic number, because the mean of its divisors is an integer number (1764213937500).

Almost surely, 220122120100020 is an apocalyptic number.

20122120100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122120100020 is an abundant number, since it is smaller than the sum of its proper divisors (22219014399980).

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

20122120100020 is a wasteful number, since it uses less digits than its factorization.

20122120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016245007 (or 2016245005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122120100020 its reverse (2000102122102), we get a palindrome (22122222222122).

The spelling of 20122120100020 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 499 998 1996 2495 4990 9980 2016244499 4032488998 8064977996 10081222495 20162444990 40324889980 1006106005001 2012212010002 4024424020004 5030530025005 10061060050010 20122120100020