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120221021200120 = 2357155217667333
BaseRepresentation
bin11011010101011100100011…
…010000110101111011111000
3120202200000110200011022220021
4123111130203100311323320
5111224200122411400440
61103404435200140224
734215452656323661
oct3325344320657370
9522600420138807
10120221021200120
11353404a3348175
1211597780907674
135210a418743a9
142198a2ad02368
15dd735831384a
hex6d5723435ef8

120221021200120 has 64 divisors (see below), whose sum is σ = 274356838895040. Its totient is φ = 47402513356800.

The previous prime is 120221021200099. The next prime is 120221021200123. The reversal of 120221021200120 is 21002120122021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120221021200094 and 120221021200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221021200123) 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, 11845974 + ... + 19513306.

It is an arithmetic number, because the mean of its divisors is an integer number (4286825607735).

Almost surely, 2120221021200120 is an apocalyptic number.

120221021200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221021200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137178419447520).

120221021200120 is an abundant number, since it is smaller than the sum of its proper divisors (154135817694920).

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

120221021200120 is a wasteful number, since it uses less digits than its factorization.

120221021200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672936 (or 7672932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221021200120 its reverse (21002120122021), we get a palindrome (141223141322141).

The spelling of 120221021200120 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 5521 11042 22084 27605 44168 55210 110420 220840 391991 783982 1567964 1959955 3135928 3919910 7667333 7839820 15334666 15679640 30669332 38336665 61338664 76673330 153346660 306693320 544380643 1088761286 2177522572 2721903215 4355045144 5443806430 10887612860 21775225720 42331345493 84662690986 169325381972 211656727465 338650763944 423313454930 846626909860 1693253819720 3005525530003 6011051060006 12022102120012 15027627650015 24044204240024 30055255300030 60110510600060 120221021200120