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122101100220020 = 22522971963370463
BaseRepresentation
bin11011110000110011100000…
…101101001000111001110100
3121000022202021121112012021212
4123300303200231020321310
5112001001023124020040
61111404245430300552
734501341042321245
oct3360634055107164
9530282247465255
10122101100220020
11359a58709a5739
12118400174b7758
1353191133ca62c
142221a20b38ccc
15e1b1e3248d65
hex6f0ce0b48e74

122101100220020 has 48 divisors (see below), whose sum is σ = 257536288719360. Its totient is φ = 48626356073856.

The previous prime is 122101100220013. The next prime is 122101100220037. The reversal of 122101100220020 is 20022001101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101100219977 and 122101100220004.

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 15 ways as a sum of consecutive naturals, for example, 329405309 + ... + 329775771.

It is an arithmetic number, because the mean of its divisors is an integer number (5365339348320).

Almost surely, 2122101100220020 is an apocalyptic number.

122101100220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101100220020 is an abundant number, since it is smaller than the sum of its proper divisors (135435188499340).

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

122101100220020 is a wasteful number, since it uses less digits than its factorization.

122101100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442664 (or 442662 counting only the distinct ones).

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

Adding to 122101100220020 its reverse (20022001101221), we get a palindrome (142123101321241).

The spelling of 122101100220020 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 71963 143926 287852 359815 370463 719630 740926 1439260 1481852 1852315 3704630 7409260 16479527 32959054 65918108 82397635 84836027 164795270 169672054 329590540 339344108 424180135 848360270 1696720540 26659628869 53319257738 106638515476 133298144345 266596288690 533192577380 6105055011001 12210110022002 24420220044004 30525275055005 61050550110010 122101100220020