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122212233120020 = 22523789256867109
BaseRepresentation
bin11011110010011011000000…
…101111100000100100010100
3121000201101010122200110022012
4123302123000233200210110
5112004311123134320040
61111531305210123352
734512354031352201
oct3362330057404424
9530641118613265
10122212233120020
1135a38a0a59133a
1211859671720558
135326744527164
142227164582ca8
15e1e049a25865
hex6f26c0be0914

122212233120020 has 24 divisors (see below), whose sum is σ = 256656478969800. Its totient is φ = 48882838120832.

The previous prime is 122212233120011. The next prime is 122212233120023. The reversal of 122212233120020 is 20021332212221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28101512779396 + 94110720340624 = 5301086^2 + 9701068^2 .

It is a super-2 number, since 2×1222122331200202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212233120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127957775 + ... + 128909334.

It is an arithmetic number, because the mean of its divisors is an integer number (10694019957075).

Almost surely, 2122212233120020 is an apocalyptic number.

122212233120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212233120020 is an abundant number, since it is smaller than the sum of its proper divisors (134444245849780).

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

122212233120020 is a wasteful number, since it uses less digits than its factorization.

122212233120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256890907 (or 256890905 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122212233120020 its reverse (20021332212221), we get a palindrome (142233565332241).

The spelling of 122212233120020 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred thirty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23789 47578 95156 118945 237890 475780 256867109 513734218 1027468436 1284335545 2568671090 5137342180 6110611656001 12221223312002 24442446624004 30553058280005 61106116560010 122212233120020