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122002312331020 = 225115310463320097
BaseRepresentation
bin11011101111010111100000…
…011111001111111100001100
3120222222022021220200110202011
4123233113200133033330030
5111442341213424043040
61111251031043111004
734461243014162122
oct3357274037177414
9528868256613664
10122002312331020
1135967987798570
1211824a47672464
13530c9cba62a44
14221ad2ca7b912
15e1886063d3ea
hex6ef5e07cff0c

122002312331020 has 48 divisors (see below), whose sum is σ = 284769719787168. Its totient is φ = 43527411599360.

The previous prime is 122002312330949. The next prime is 122002312331069. The reversal of 122002312331020 is 20133213200221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122002312330982 and 122002312331000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5231648389 + ... + 5231671708.

It is an arithmetic number, because the mean of its divisors is an integer number (5932702495566).

Almost surely, 2122002312331020 is an apocalyptic number.

122002312331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002312331020 is an abundant number, since it is smaller than the sum of its proper divisors (162767407456148).

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

122002312331020 is a wasteful number, since it uses less digits than its factorization.

122002312331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463320170 (or 10463320168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122002312331020 its reverse (20133213200221), we get a palindrome (142135525531241).

The spelling of 122002312331020 in words is "one hundred twenty-two trillion, two billion, three hundred twelve million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 10463320097 20926640194 41853280388 52316600485 104633200970 115096521067 209266401940 230193042134 460386084268 554555965141 575482605335 1109111930282 1150965210670 2218223860564 2301930421340 2772779825705 5545559651410 6100115616551 11091119302820 12200231233102 24400462466204 30500578082755 61001156165510 122002312331020