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122641962420 = 22356193302153
BaseRepresentation
bin111001000111000000…
…1111101010110110100
3102201120010111012121110
41302032001331112310
54002132320244140
6132201350515020
711601116323515
oct1621601752664
9381503435543
10122641962420
114801521063a
121b928665a70
13b746660143
145d1618ca0c
1532cbdc4380
hex1c8e07d5b4

122641962420 has 48 divisors (see below), whose sum is σ = 343952360640. Its totient is φ = 32651678976.

The previous prime is 122641962419. The next prime is 122641962463. The reversal of 122641962420 is 24269146221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 1613937 + ... + 1688216.

It is an arithmetic number, because the mean of its divisors is an integer number (7165674180).

Almost surely, 2122641962420 is an apocalyptic number.

122641962420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122641962420 is an abundant number, since it is smaller than the sum of its proper divisors (221310398220).

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

122641962420 is a wasteful number, since it uses less digits than its factorization.

122641962420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302784 (or 3302782 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 122641962420 in words is "one hundred twenty-two billion, six hundred forty-one million, nine hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 619 1238 1857 2476 3095 3714 6190 7428 9285 12380 18570 37140 3302153 6604306 9906459 13208612 16510765 19812918 33021530 39625836 49532295 66043060 99064590 198129180 2044032707 4088065414 6132098121 8176130828 10220163535 12264196242 20440327070 24528392484 30660490605 40880654140 61320981210 122641962420