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2120189642712 = 2332376771175579
BaseRepresentation
bin11110110110100101001…
…001101000011111011000
321111200120122212022100200
4132312211021220133120
5234214122022031322
64302000210102200
7306115163416461
oct36664511503730
97450518768320
102120189642712
11748192864319
122a2aa727a960
13124c18b1a65b
147489107dd68
153a23e9438ac
hex1eda52687d8

2120189642712 has 96 divisors (see below), whose sum is σ = 5906090408400. Its totient is φ = 686612788992.

The previous prime is 2120189642687. The next prime is 2120189642743. The reversal of 2120189642712 is 2172469810212.

2120189642712 is a `hidden beast` number, since 2 + 1 + 201 + 8 + 9 + 6 + 427 + 12 = 666.

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, 1215739 + ... + 2391317.

Almost surely, 22120189642712 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 2120189642712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953045204200).

2120189642712 is an abundant number, since it is smaller than the sum of its proper divisors (3785900765688).

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

2120189642712 is a wasteful number, since it uses less digits than its factorization.

2120189642712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176305 (or 1176298 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2120189642712 in words is "two trillion, one hundred twenty billion, one hundred eighty-nine million, six hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 677 888 1332 1354 2031 2664 2708 4062 5416 6093 8124 12186 16248 24372 25049 48744 50098 75147 100196 150294 200392 225441 300588 450882 601176 901764 1175579 1803528 2351158 3526737 4702316 7053474 9404632 10580211 14106948 21160422 28213896 42320844 43496423 84641688 86992846 130489269 173985692 260978538 347971384 391467807 521957076 782935614 795866983 1043914152 1565871228 1591733966 2387600949 3131742456 3183467932 4775201898 6366935864 7162802847 9550403796 14325605694 19100807592 28651211388 29447078371 57302422776 58894156742 88341235113 117788313484 176682470226 235576626968 265023705339 353364940452 530047410678 706729880904 1060094821356 2120189642712