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122202120101120 = 28595470406329
BaseRepresentation
bin11011110010010001100101…
…111101011001110100000000
3121000200102000212020212101122
4123302101211331121310000
5112004124420221213440
61111522513505051412
734511545312203113
oct3362214575316400
9530612025225348
10122202120101120
1135a3469aaa3584
121185770a926b68
1353257c22b84c7
14222688540057a
15e1db56c907b5
hex6f2465f59d00

122202120101120 has 36 divisors (see below), whose sum is σ = 292712265807780. Its totient is φ = 48880848039936.

The previous prime is 122202120101111. The next prime is 122202120101123. The reversal of 122202120101120 is 21101021202221.

It can be written as a sum of positive squares in 2 ways, for example, as 79065387664384 + 43136732436736 = 8891872^2 + 6567856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202120101123) 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 3 ways as a sum of consecutive naturals, for example, 47735201885 + ... + 47735204444.

Almost surely, 2122202120101120 is an apocalyptic number.

122202120101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202120101120 is an abundant number, since it is smaller than the sum of its proper divisors (170510145706660).

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

122202120101120 is an frugal number, since it uses more digits than its factorization.

122202120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95470406350 (or 95470406336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122202120101120 its reverse (21101021202221), we get a palindrome (143303141303341).

The spelling of 122202120101120 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 95470406329 190940812658 381881625316 477352031645 763763250632 954704063290 1527526501264 1909408126580 3055053002528 3818816253160 6110106005056 7637632506320 12220212010112 15275265012640 24440424020224 30550530025280 61101060050560 122202120101120