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122002012001000 = 2353122002012001
BaseRepresentation
bin11011101111010111001110…
…100101100101001011101000
3120222222021111222120010102002
4123233113032211211023220
5111442340110033013000
61111250541154030132
734461232406336315
oct3357271645451350
9528867458503362
10122002012001000
113596784320913a
1211824982b78348
13530c98177a981
14221ad00c1dd0c
15e188440b68d5
hex6ef5ce9652e8

122002012001000 has 32 divisors (see below), whose sum is σ = 285484708084680. Its totient is φ = 48800804800000.

The previous prime is 122002012000997. The next prime is 122002012001017. The reversal of 122002012001000 is 100210200221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46873439430724 + 75128572570276 = 6846418^2 + 8667674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61001005001 + ... + 61001007000.

Almost surely, 2122002012001000 is an apocalyptic number.

122002012001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002012001000 is an abundant number, since it is smaller than the sum of its proper divisors (163482696083680).

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

122002012001000 is a wasteful number, since it uses less digits than its factorization.

122002012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122002012022 (or 122002012008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122002012001000 its reverse (100210200221), we get a palindrome (122102222201221).

The spelling of 122002012001000 in words is "one hundred twenty-two trillion, two billion, twelve million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122002012001 244004024002 488008048004 610010060005 976016096008 1220020120010 2440040240020 3050050300025 4880080480040 6100100600050 12200201200100 15250251500125 24400402400200 30500503000250 61001006000500 122002012001000