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122452056144220 = 225112333361371069
BaseRepresentation
bin11011110101111010010111…
…010011101111100101011100
3121001120022011100000101010211
4123311322113103233211130
5112022223302333103340
61112233410433542204
734535604050415445
oct3365722723574534
9531508140011124
10122452056144220
1136020697413a90
1211898041a14964
13534324404337a
1422349d55242cc
15e253d41745ea
hex6f5e974ef95c

122452056144220 has 96 divisors (see below), whose sum is σ = 281742851033280. Its totient is φ = 44334970152960.

The previous prime is 122452056144181. The next prime is 122452056144221. The reversal of 122452056144220 is 22441650254221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122452056144221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722966846 + ... + 1723037914.

It is an arithmetic number, because the mean of its divisors is an integer number (2934821364930).

Almost surely, 2122452056144220 is an apocalyptic number.

122452056144220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122452056144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140871425516640).

122452056144220 is an abundant number, since it is smaller than the sum of its proper divisors (159290794889060).

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

122452056144220 is a wasteful number, since it uses less digits than its factorization.

122452056144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104935 (or 104933 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 122452056144220 in words is "one hundred twenty-two trillion, four hundred fifty-two billion, fifty-six million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4660 5126 10252 12815 25630 33613 51260 67226 71069 134452 142138 168065 284276 336130 355345 369743 672260 710690 739486 781759 1421380 1478972 1563518 1848715 3127036 3697430 3908795 7394860 7817590 7831829 15635180 15663658 16559077 31327316 33118154 39159145 66236308 78318290 82795385 86150119 156636580 165590770 172300238 182149847 331181540 344600476 364299694 430750595 728599388 861501190 910749235 1723002380 1821498470 2388842297 3642996940 4777684594 9555369188 11944211485 23888422970 26277265267 47776845940 52554530534 105109061068 131386326335 262772652670 525545305340 556600255201 1113200510402 2226401020804 2783001276005 5566002552010 6122602807211 11132005104020 12245205614422 24490411228844 30613014036055 61226028072110 122452056144220