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122211221220020 = 2256110561061001
BaseRepresentation
bin11011110010011010000100…
…011011011010101010110100
3121000201021112010121121110102
4123302122010123122222310
5112004302040113020040
61111531020541413232
734512316663346342
oct3362320433325264
9530637463547412
10122211221220020
1135a3854037a949
121185942a86a218
1353266129b166a
1422270aa018992
15e1dedac93515
hex6f26846daab4

122211221220020 has 12 divisors (see below), whose sum is σ = 256643564562084. Its totient is φ = 48884488488000.

The previous prime is 122211221219957. The next prime is 122211221220073. The reversal of 122211221220020 is 20022122112221.

It can be written as a sum of positive squares in 2 ways, for example, as 26909969500324 + 95301251719696 = 5187482^2 + 9762236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6110561061001 = 122211221220020 / (1 + 2 + 2 + 2 + 1 + 1 + 2 + 2 + 1 + 2 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 122211221219974 and 122211221220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055280530481 + ... + 3055280530520.

It is an arithmetic number, because the mean of its divisors is an integer number (21386963713507).

Almost surely, 2122211221220020 is an apocalyptic number.

122211221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211221220020 is an abundant number, since it is smaller than the sum of its proper divisors (134432343342064).

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

122211221220020 is a wasteful number, since it uses less digits than its factorization.

122211221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110561061010 (or 6110561061008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122211221220020 its reverse (20022122112221), we get a palindrome (142233343332241).

The spelling of 122211221220020 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 6110561061001 12221122122002 24442244244004 30552805305005 61105610610010 122211221220020