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122132574277680 = 2435971524084167
BaseRepresentation
bin11011110001010000110100…
…101101001001000000110000
3121000102202112002111222122010
4123301100310231021000300
5112002010003003341210
61111430532520442520
734503534021356301
oct3361206455110060
9530382462458563
10122132574277680
1135a0815221003a
1211846140019440
13531c08aca08a5
142223368c527a8
15e1be36495920
hex6f1434b49030

122132574277680 has 80 divisors (see below), whose sum is σ = 379000899604224. Its totient is φ = 32535145025280.

The previous prime is 122132574277657. The next prime is 122132574277687. The reversal of 122132574277680 is 86772475231221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 122132574277680.

It is not an unprimeable number, because it can be changed into a prime (122132574277687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261809044 + ... + 262275123.

Almost surely, 2122132574277680 is an apocalyptic number.

122132574277680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132574277680 is an abundant number, since it is smaller than the sum of its proper divisors (256868325326544).

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

122132574277680 is a wasteful number, since it uses less digits than its factorization.

122132574277680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524085154 (or 524085148 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 122132574277680 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, five hundred seventy-four million, two hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 971 1942 2913 3884 4855 5826 7768 9710 11652 14565 15536 19420 23304 29130 38840 46608 58260 77680 116520 233040 524084167 1048168334 1572252501 2096336668 2620420835 3144505002 4192673336 5240841670 6289010004 7861262505 8385346672 10481683340 12578020008 15722525010 20963366680 25156040016 31445050020 41926733360 62890100040 125780200080 508885726157 1017771452314 1526657178471 2035542904628 2544428630785 3053314356942 4071085809256 5088857261570 6106628713884 7633285892355 8142171618512 10177714523140 12213257427768 15266571784710 20355429046280 24426514855536 30533143569420 40710858092560 61066287138840 122132574277680