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1020212222112 = 25331180801183
BaseRepresentation
bin11101101100010010110…
…00110001100010100000
310121112100100021200202000
432312021120301202200
5113203343312101422
62100402400324000
7133464544543206
oct16661130614240
93545310250660
101020212222112
11363740225596
12145883013600
1375289919895
14375429b3076
151b810e52cac
hexed896318a0

1020212222112 has 48 divisors (see below), whose sum is σ = 2975618983680. Its totient is φ = 340070740416.

The previous prime is 1020212222087. The next prime is 1020212222207. The reversal of 1020212222112 is 2112222120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590399728 + ... + 590401455.

It is an arithmetic number, because the mean of its divisors is an integer number (61992062160).

Almost surely, 21020212222112 is an apocalyptic number.

1020212222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020212222112 is an abundant number, since it is smaller than the sum of its proper divisors (1955406761568).

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

1020212222112 is a wasteful number, since it uses less digits than its factorization.

1020212222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180801202 (or 1180801188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1020212222112 its reverse (2112222120201), we get a palindrome (3132434342313).

The spelling of 1020212222112 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1180801183 2361602366 3542403549 4723204732 7084807098 9446409464 10627210647 14169614196 18892818928 21254421294 28339228392 31881631941 37785637856 42508842588 56678456784 63763263882 85017685176 113356913568 127526527764 170035370352 255053055528 340070740704 510106111056 1020212222112