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2120122121012 = 227219709548833
BaseRepresentation
bin11110110110100001001…
…000000011101100110100
321111200101221210211222222
4132312201020003230310
5234214002230333022
64301545354541512
7306113413454300
oct36664110035464
97450357724888
102120122121012
11748158736265
122a2a88737898
13124c07b38b9c
1474886104d00
153a238a57242
hex1eda1203b34

2120122121012 has 36 divisors (see below), whose sum is σ = 4316189737860. Its totient is φ = 908576008704.

The previous prime is 2120122121011. The next prime is 2120122121059. The reversal of 2120122121012 is 2101212210212.

It can be written as a sum of positive squares in 2 ways, for example, as 724803633316 + 1395318487696 = 851354^2 + 1181236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120122121011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3588548 + ... + 4137380.

It is an arithmetic number, because the mean of its divisors is an integer number (119894159385).

Almost surely, 22120122121012 is an apocalyptic number.

It is an amenable number.

2120122121012 is an abundant number, since it is smaller than the sum of its proper divisors (2196067616848).

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

2120122121012 is a wasteful number, since it uses less digits than its factorization.

2120122121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568560 (or 568551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2120122121012 its reverse (2101212210212), we get a palindrome (4221334331224).

The spelling of 2120122121012 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 19709 39418 78836 137963 275926 548833 551852 965741 1097666 1931482 2195332 3841831 3862964 7683662 15367324 26892817 53785634 107571268 10816949597 21633899194 43267798388 75718647179 151437294358 302874588716 530030530253 1060061060506 2120122121012