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10212200020120 = 2357291257660101
BaseRepresentation
bin1001010010011011011010…
…0011011111100010011000
31100011021110210000011200211
42110212312203133202120
52314304041201120440
633415230411540504
72102543556635140
oct224466643374230
940137423004624
1010212200020120
113287a7375297a
12118b23915a734
13591010ba26c7
142743b7617920
1512a999497eea
hex949b68df898

10212200020120 has 64 divisors (see below), whose sum is σ = 27165458203200. Its totient is φ = 3380590348800.

The previous prime is 10212200020117. The next prime is 10212200020123. The reversal of 10212200020120 is 2102000221201.

It is a happy number.

10212200020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212200020117) and next prime (10212200020123).

It is a self number, because there is not a number n which added to its sum of digits gives 10212200020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212200020123) 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, 628821931 + ... + 628838170.

It is an arithmetic number, because the mean of its divisors is an integer number (424460284425).

Almost surely, 210212200020120 is an apocalyptic number.

10212200020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212200020120 is an abundant number, since it is smaller than the sum of its proper divisors (16953258183080).

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

10212200020120 is a wasteful number, since it uses less digits than its factorization.

10212200020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257660148 (or 1257660144 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10212200020120 its reverse (2102000221201), we get a palindrome (12314200241321).

The spelling of 10212200020120 in words is "ten trillion, two hundred twelve billion, two hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 1257660101 2515320202 5030640404 6288300505 8803620707 10061280808 12576601010 17607241414 25153202020 35214482828 36472142929 44018103535 50306404040 70428965656 72944285858 88036207070 145888571716 176072414140 182360714645 255305000503 291777143432 352144828280 364721429290 510610001006 729442858580 1021220002012 1276525002515 1458885717160 2042440004024 2553050005030 5106100010060 10212200020120