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122202101001020 = 22520233633019777
BaseRepresentation
bin11011110010010001100100…
…110100100010101100111100
3121000200101222112022110222112
4123302101210310202230330
5112004124400324013040
61111522511543433152
734511544660642515
oct3362214464425474
9530611875273875
10122202101001020
1135a34690238377
12118577044557b8
1353257bb35b881
142226882a6ba0c
15e1db5526b365
hex6f2464d22b3c

122202101001020 has 24 divisors (see below), whose sum is σ = 256624623914064. Its totient is φ = 48880800055296.

The previous prime is 122202101000983. The next prime is 122202101001023. The reversal of 122202101001020 is 20100101202221.

It is a junction number, because it is equal to n+sod(n) for n = 122202101000986 and 122202101001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202101001023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38957372 + ... + 41977148.

It is an arithmetic number, because the mean of its divisors is an integer number (10692692663086).

Almost surely, 2122202101001020 is an apocalyptic number.

122202101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202101001020 is an abundant number, since it is smaller than the sum of its proper divisors (134422522913044).

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

122202101001020 is a wasteful number, since it uses less digits than its factorization.

122202101001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043149 (or 5043147 counting only the distinct ones).

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

Adding to 122202101001020 its reverse (20100101202221), we get a palindrome (142302202203241).

The spelling of 122202101001020 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 2023363 3019777 4046726 6039554 8093452 10116815 12079108 15098885 20233630 30197770 40467260 60395540 6110105050051 12220210100102 24440420200204 30550525250255 61101050500510 122202101001020