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122120101222020 = 223251161676818799
BaseRepresentation
bin11011110001000101001101…
…010000001101011010000100
3121000101120022211021002220200
4123301011031100031122010
5112001303431403101040
61111421111111530500
734502612644216446
oct3361051520153204
9530346284232820
10122120101222020
1135a02931525780
121184383a989a30
13531ab50b29195
142222904494496
15e1b956430630
hex6f114d40d684

122120101222020 has 72 divisors (see below), whose sum is σ = 404106516777600. Its totient is φ = 29604873023040.

The previous prime is 122120101222003. The next prime is 122120101222039. The reversal of 122120101222020 is 20222101021221.

It is a happy number.

122120101222020 is a `hidden beast` number, since 1 + 221 + 201 + 0 + 1 + 2 + 220 + 20 = 666.

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 = 122120101221984 and 122120101222002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30838407420 + ... + 30838411379.

It is an arithmetic number, because the mean of its divisors is an integer number (5612590510800).

Almost surely, 2122120101222020 is an apocalyptic number.

122120101222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120101222020 is an abundant number, since it is smaller than the sum of its proper divisors (281986415555580).

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

122120101222020 is a wasteful number, since it uses less digits than its factorization.

122120101222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61676818825 (or 61676818820 counting only the distinct ones).

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

Adding to 122120101222020 its reverse (20222101021221), we get a palindrome (142342202243241).

The spelling of 122120101222020 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 61676818799 123353637598 185030456397 246707275196 308384093995 370060912794 555091369191 616768187990 678445006789 740121825588 925152281985 1110182738382 1233536375980 1356890013578 1850304563970 2035335020367 2220365476764 2713780027156 2775456845955 3392225033945 3700609127940 4070670040734 5550913691910 6106005061101 6784450067890 8141340081468 10176675101835 11101827383820 12212010122202 13568900135780 20353350203670 24424020244404 30530025305505 40706700407340 61060050611010 122120101222020