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4012215200120 = 235294184361127
BaseRepresentation
bin111010011000101010101…
…010010110100101111000
3112012120020011202011100102
4322120222222112211320
51011214004042400440
612311104120054532
7562605301332341
oct72305252264570
915176204664312
104012215200120
111307630978286
12549716904448
13231472709cba
14dc2997790c8
156e578588b15
hex3a62aa96978

4012215200120 has 64 divisors (see below), whose sum is σ = 9566551915200. Its totient is φ = 1511751377920.

The previous prime is 4012215200117. The next prime is 4012215200219. The reversal of 4012215200120 is 210025122104.

4012215200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4012215200092 and 4012215200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42133004 + ... + 42228123.

It is an arithmetic number, because the mean of its divisors is an integer number (149477373675).

Almost surely, 24012215200120 is an apocalyptic number.

4012215200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4012215200120 is an abundant number, since it is smaller than the sum of its proper divisors (5554336715080).

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

4012215200120 is a wasteful number, since it uses less digits than its factorization.

4012215200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84361208 (or 84361204 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 4012215200120 in words is "four trillion, twelve billion, two hundred fifteen million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 47560 84361127 168722254 337444508 421805635 674889016 843611270 1687222540 2446472683 3374445080 3458806207 4892945366 6917612414 9785890732 12232363415 13835224828 17294031035 19571781464 24464726830 27670449656 34588062070 48929453660 69176124140 97858907320 100305380003 138352248280 200610760006 401221520012 501526900015 802443040024 1003053800030 2006107600060 4012215200120