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120220212222100 = 22524129322002981
BaseRepresentation
bin11011010101011011110011…
…000010110101100010010100
3120202122221101021220222200101
4123111123303002311202110
5111224141443312101400
61103404223021023444
734215423634165324
oct3325336302654224
9522587337828611
10120220212222100
1135340118734aa1
12115975959b4b84
135210943099b83
1421989916bb284
15dd730c2b656a
hex6d56f30b5894

120220212222100 has 36 divisors (see below), whose sum is σ = 267240735177948. Its totient is φ = 46915204768000.

The previous prime is 120220212222023. The next prime is 120220212222109. The reversal of 120220212222100 is 1222212022021.

It can be written as a sum of positive squares in 6 ways, for example, as 46635623424784 + 73584588797316 = 6829028^2 + 8578146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220212222109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14660997391 + ... + 14661005590.

It is an arithmetic number, because the mean of its divisors is an integer number (7423353754943).

Almost surely, 2120220212222100 is an apocalyptic number.

120220212222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220212222100 is an abundant number, since it is smaller than the sum of its proper divisors (147020522955848).

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

120220212222100 is a wasteful number, since it uses less digits than its factorization.

120220212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29322003036 (or 29322003029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120220212222100 its reverse (1222212022021), we get a palindrome (121442424244121).

The spelling of 120220212222100 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 29322002981 58644005962 117288011924 146610014905 293220029810 586440059620 733050074525 1202202122221 1466100149050 2404404244442 2932200298100 4808808488884 6011010611105 12022021222210 24044042444420 30055053055525 60110106111050 120220212222100