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1200102012 = 2232172967619
BaseRepresentation
bin100011110001000…
…0001101001111100
310002122012111110200
41013202001221330
54424211231022
6315030203500
741511461454
oct10742015174
93078174420
101200102012
1156647644a
12295ab3590
1316182ba45
14b5558d64
157055abac
hex47881a7c

1200102012 has 72 divisors (see below), whose sum is σ = 3322846800. Its totient is φ = 363514368.

The previous prime is 1200101963. The next prime is 1200102023. The reversal of 1200102012 is 2102010021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200101985 and 1200102003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16062 + ... + 51557.

It is an arithmetic number, because the mean of its divisors is an integer number (46150650).

Almost surely, 21200102012 is an apocalyptic number.

1200102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200102012 is an abundant number, since it is smaller than the sum of its proper divisors (2122744788).

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

1200102012 is a wasteful number, since it uses less digits than its factorization.

1200102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67675 (or 67670 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200102012 is about 34642.4885364779. The cubic root of 1200102012 is about 1062.6886805310.

Adding to 1200102012 its reverse (2102010021), we get a palindrome (3302112033).

The spelling of 1200102012 in words is "one billion, two hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 67619 135238 202857 270476 405714 608571 811428 1149523 1217142 1960951 2299046 2434284 3448569 3921902 4598092 5882853 6897138 7843804 10345707 11765706 13794276 17648559 20691414 23531412 33336167 35297118 41382828 66672334 70594236 100008501 133344668 200017002 300025503 400034004 600051006 1200102012