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1202210102112 = 253131190150287
BaseRepresentation
bin10001011111101001010…
…011100101101101100000
311020221010002101221010020
4101133221103211231200
5124144111241231422
62320142050433440
7152566613155305
oct21375123455540
94227102357106
101202210102112
11423944296568
12174bb5892880
13894a2445536
1442289c750ac
1521413c5095c
hex117e94e5b60

1202210102112 has 96 divisors (see below), whose sum is σ = 3181627620864. Its totient is φ = 397460544000.

The previous prime is 1202210102089. The next prime is 1202210102123. The reversal of 1202210102112 is 2112010122021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1202210102091 and 1202210102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881833 + ... + 23932119.

It is an arithmetic number, because the mean of its divisors is an integer number (33141954384).

Almost surely, 21202210102112 is an apocalyptic number.

1202210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202210102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590813810432).

1202210102112 is an abundant number, since it is smaller than the sum of its proper divisors (1979417518752).

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

1202210102112 is a wasteful number, since it uses less digits than its factorization.

1202210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52332 (or 52324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1202210102112 its reverse (2112010122021), we get a palindrome (3314220224133).

The spelling of 1202210102112 in words is "one trillion, two hundred two billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 1901 2096 3144 3802 4192 5703 6288 7604 11406 12576 15208 22812 30416 45624 50287 60832 91248 100574 150861 182496 201148 249031 301722 402296 498062 603444 747093 804592 996124 1206888 1494186 1609184 1992248 2413776 2988372 3984496 4827552 5976744 6587597 7968992 11953488 13175194 19762791 23906976 26350388 39525582 52700776 79051164 95595587 105401552 158102328 191191174 210803104 286786761 316204656 382382348 573573522 632409312 764764696 1147147044 1529529392 2294294088 3059058784 4588588176 9177176352 12523021897 25046043794 37569065691 50092087588 75138131382 100184175176 150276262764 200368350352 300552525528 400736700704 601105051056 1202210102112