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122021022011020 = 22511567119780131
BaseRepresentation
bin11011101111101000111011…
…101011000000111010001100
3121000001002120211020200201021
4123233220323223000322030
5111443143023113323040
61111303403400323524
734462504450633126
oct3357507353007214
9530032524220637
10122021022011020
1135974908931020
12118285a94735a4
1353116c1011702
14221bbc5842216
15e190a7e7c24a
hex6efa3bac0e8c

122021022011020 has 48 divisors (see below), whose sum is σ = 279544026375936. Its totient is φ = 44370493784000.

The previous prime is 122021022011003. The next prime is 122021022011059. The reversal of 122021022011020 is 20110220120221.

It is a happy number.

It is a super-2 number, since 2×1220210220110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122021022010985 and 122021022011003.

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, 7586355 + ... + 17366485.

It is an arithmetic number, because the mean of its divisors is an integer number (5823833882832).

Almost surely, 2122021022011020 is an apocalyptic number.

122021022011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021022011020 is an abundant number, since it is smaller than the sum of its proper divisors (157523004364916).

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

122021022011020 is a wasteful number, since it uses less digits than its factorization.

122021022011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836862 (or 9836860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122021022011020 its reverse (20110220120221), we get a palindrome (142131242131241).

The spelling of 122021022011020 in words is "one hundred twenty-two trillion, twenty-one billion, twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 56711 113422 226844 283555 567110 623821 1134220 1247642 2495284 3119105 6238210 9780131 12476420 19560262 39120524 48900655 97801310 107581441 195602620 215162882 430325764 537907205 1075814410 2151628820 554641009141 1109282018282 2218564036564 2773205045705 5546410091410 6101051100551 11092820182820 12202102201102 24404204402204 30505255502755 61010511005510 122021022011020