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1321212000042 = 2321117233872773
BaseRepresentation
bin10011001110011110010…
…111110011011100101010
311200022021112110200222100
4103032132113303130222
5133121320233000132
62450542330234230
7164311602463164
oct23163627633452
94608245420870
101321212000042
1146a360803840
12194087285976
139778890855c
1447d38805934
152457b29c37c
hex1339e5f372a

1321212000042 has 48 divisors (see below), whose sum is σ = 3124677991968. Its totient is φ = 400134803040.

The previous prime is 1321212000041. The next prime is 1321212000139. The reversal of 1321212000042 is 2400002121231.

It is a happy number.

It is a super-2 number, since 2×13212120000422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321211999979 and 1321212000024.

It is not an unprimeable number, because it can be changed into a prime (1321212000041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595233 + ... + 2277540.

It is an arithmetic number, because the mean of its divisors is an integer number (65097458166).

Almost surely, 21321212000042 is an apocalyptic number.

1321212000042 is an abundant number, since it is smaller than the sum of its proper divisors (1803465991926).

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

1321212000042 is a wasteful number, since it uses less digits than its factorization.

1321212000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874515 (or 3874512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1321212000042 its reverse (2400002121231), we get a palindrome (3721214121273).

The spelling of 1321212000042 in words is "one trillion, three hundred twenty-one billion, two hundred twelve million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1723 3446 5169 10338 15507 18953 31014 37906 56859 113718 170577 341154 3872773 7745546 11618319 23236638 34854957 42600503 69709914 85201006 127801509 255603018 383404527 766809054 6672787879 13345575758 20018363637 40036727274 60055090911 73400666669 120110181822 146801333338 220202000007 440404000014 660606000021 1321212000042