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1020120002120 = 235109723247949
BaseRepresentation
bin11101101100000111110…
…00111110111001001000
310121112002220202102200202
432312003320332321020
5113203201210031440
62100345303551332
7133462344643232
oct16660370767110
93545086672622
101020120002120
113636a316831a
1214585815b548
137527379b33b
1437534649252
151b807cd8615
hexed83e3ee48

1020120002120 has 32 divisors (see below), whose sum is σ = 2297362419000. Its totient is φ = 407676016128.

The previous prime is 1020120002089. The next prime is 1020120002129. The reversal of 1020120002120 is 212000210201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 517067417476 + 503052584644 = 719074^2 + 709262^2 .

It is not an unprimeable number, because it can be changed into a prime (1020120002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11580095 + ... + 11667854.

Almost surely, 21020120002120 is an apocalyptic number.

1020120002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120002120 is an abundant number, since it is smaller than the sum of its proper divisors (1277242416880).

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

1020120002120 is a wasteful number, since it uses less digits than its factorization.

1020120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23249057 (or 23249053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020120002120 its reverse (212000210201), we get a palindrome (1232120212321).

The spelling of 1020120002120 in words is "one trillion, twenty billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1097 2194 4388 5485 8776 10970 21940 43880 23247949 46495898 92991796 116239745 185983592 232479490 464958980 929917960 25503000053 51006000106 102012000212 127515000265 204024000424 255030000530 510060001060 1020120002120