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10120212111220 = 2256417529104849
BaseRepresentation
bin1001001101000100101110…
…1001011101111101110100
31022211111000222112020012221
42103101023221131331310
52311302143300024340
633305054455452124
72063106201415621
oct223211351357564
938744028466187
1010120212111220
113251a599a3472
121175446687044
1358544127a693
1426db6c6cb348
151283b384644a
hex9344ba5df74

10120212111220 has 48 divisors (see below), whose sum is σ = 21288630762000. Its totient is φ = 4041194209280.

The previous prime is 10120212111181. The next prime is 10120212111223. The reversal of 10120212111220 is 2211121202101.

It can be written as a sum of positive squares in 8 ways, for example, as 286895211876 + 9833316899344 = 535626^2 + 3135812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10120212111194 and 10120212111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212111223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96469356 + ... + 96574204.

It is an arithmetic number, because the mean of its divisors is an integer number (443513140875).

Almost surely, 210120212111220 is an apocalyptic number.

10120212111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212111220 is an abundant number, since it is smaller than the sum of its proper divisors (11168418650780).

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

10120212111220 is a wasteful number, since it uses less digits than its factorization.

10120212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113028 (or 113026 counting only the distinct ones).

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

Adding to 10120212111220 its reverse (2211121202101), we get a palindrome (12331333313321).

The spelling of 10120212111220 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 7529 12820 15058 30116 37645 75290 104849 150580 209698 419396 524245 1048490 2096980 4826089 9652178 19304356 24130445 48260890 67208209 96521780 134416418 268832836 336041045 672082090 789408121 1344164180 1578816242 3157632484 3947040605 7894081210 15788162420 506010605561 1012021211122 2024042422244 2530053027805 5060106055610 10120212111220