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120200011122020 = 22510161681964721
BaseRepresentation
bin11011010101001000111110…
…111101110000010101100100
3120202121000020102222202222112
4123111020332331300111210
5111223324110321401040
61103351042305220152
734214110220522654
oct3325107675602544
9522530212882875
10120200011122020
11353325a1741565
1211593698631658
13520ba73b4130b
1421979d6808364
15dd6a28a75365
hex6d523ef70564

120200011122020 has 48 divisors (see below), whose sum is σ = 254923628618736. Its totient is φ = 47603143680000.

The previous prime is 120200011122011. The next prime is 120200011122053. The reversal of 120200011122020 is 20221110002021.

It can be written as a sum of positive squares in 8 ways, for example, as 23561022016 + 120176450100004 = 153496^2 + 10962502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120200011121986 and 120200011122004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124113260 + ... + 125077980.

It is an arithmetic number, because the mean of its divisors is an integer number (5310908929557).

Almost surely, 2120200011122020 is an apocalyptic number.

120200011122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200011122020 is an abundant number, since it is smaller than the sum of its proper divisors (134723617496716).

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

120200011122020 is a wasteful number, since it uses less digits than its factorization.

120200011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026512 (or 1026510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120200011122020 its reverse (20221110002021), we get a palindrome (140421121124041).

The spelling of 120200011122020 in words is "one hundred twenty trillion, two hundred billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 61681 123362 246724 308405 616810 964721 1233620 1929442 3858884 4823605 6229781 9647210 12459562 19294420 24919124 31148905 62297810 97436821 124595620 194873642 389747284 487184105 974368210 1948736420 59504956001 119009912002 238019824004 297524780005 595049560010 1190099120020 6010000556101 12020001112202 24040002224404 30050002780505 60100005561010 120200011122020