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120200111022112 = 25111516133689137
BaseRepresentation
bin11011010101001001000100…
…111010110110000000100000
3120202121000111101222020010221
4123111021010322312000200
5111223324311410201422
61103351100234332424
734214112542620612
oct3325110472660040
9522530441866127
10120200111022112
1135332643074a20
1211593705b8a114
13520ba8b74b4b4
142197a05bb0db2
15dd6a3270a3c7
hex6d5244eb6020

120200111022112 has 96 divisors (see below), whose sum is σ = 260290702675584. Its totient is φ = 54186029568000.

The previous prime is 120200111022077. The next prime is 120200111022151. The reversal of 120200111022112 is 211220111002021.

120200111022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30737608 + ... + 34426744.

It is an arithmetic number, because the mean of its divisors is an integer number (2711361486204).

Almost surely, 2120200111022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200111022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130145351337792).

120200111022112 is an abundant number, since it is smaller than the sum of its proper divisors (140090591653472).

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

120200111022112 is a wasteful number, since it uses less digits than its factorization.

120200111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689922 (or 3689914 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120200111022112 its reverse (211220111002021), we get a palindrome (331420222024133).

The spelling of 120200111022112 in words is "one hundred twenty trillion, two hundred billion, one hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 604 613 1208 1226 1661 2416 2452 3322 4832 4904 6644 6743 9808 13288 13486 19616 26576 26972 53152 53944 92563 107888 185126 215776 370252 740504 1018193 1481008 2036386 2962016 3689137 4072772 7378274 8145544 14756548 16291088 29513096 32582176 40580507 59026192 81161014 118052384 162322028 324644056 557059687 649288112 1114119374 1298576224 2228238748 2261440981 4456477496 4522881962 6127656557 8912954992 9045763924 12255313114 17825909984 18091527848 24510626228 24875850791 36183055696 49021252456 49751701582 72366111392 98042504912 99503403164 196085009824 199006806328 341477588131 398013612656 682955176262 796027225312 1365910352524 2731820705048 3756253469441 5463641410096 7512506938882 10927282820192 15025013877764 30050027755528 60100055511056 120200111022112